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Suzuki, Alfredo Takashi; Suzuki, Timothy

A novel way of calculating scattering integrals. (English) Zbl 07924230

Vlachos, Dimitrios (ed.), Mathematical modeling in physical sciences. 12th IC-MSQUARE, Belgrade, Serbia, August 28–31, 2023. Cham: Springer. Springer Proc. Math. Stat. 446, 457-470 (2024).

MSC: 81-08 30E20 81U05 33C65

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Hang, Peng-Cheng; Luo, Min-Jie

Asymptotics of the Humbert function \(\Psi_1\) for two large arguments. (English) Zbl 07922379

SIGMA, Symmetry Integrability Geom. Methods Appl. 20, Paper 074, 13 p. (2024).

MSC: 33C70 33C65 41A60

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Ma, Xuan; Bakhet, Ahmed; He, Fuli; Abdalla, Mohamed

The incomplete matrix beta function and its application to first Appell hypergeometric matrix function. (English) Zbl 07916010

Linear Multilinear Algebra 72, No. 12, 2003-2021 (2024).

MSC: 33B20 33C65 15A16

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Caratelli, Diego; Ricci, Paolo Emilio

Fractional Hermite-Kampé de Fériet and related polynomials. (English) Zbl 07915037

Adv. Stud.: Euro-Tbil. Math. J. 17, No. 1, 11-19 (2024).

MSC: 33C70 33C65 33C45 26A33

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Verma, Ashish; Yadav, Komal Singh; Sharan, Bhagwat; Suthar, D. L.

Some properties of \(\Psi\)-gamma, \(\Psi\)-beta and \(\Psi\)-hypergeometric matrix functions. (English) Zbl 07912330

Analysis, München 44, No. 3, 233-243 (2024).

MSC: 33B15 15A16 33C05 33C65 33C70

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sKapoor, Ayushi; Sahai, Vivek

On models of the Lie algebra \(\mathcal{K}_5\) and Lauricella functions using an integral transformation. (English) Zbl 07911217

Miskolc Math. Notes 25, No. 1, 301-316 (2024).

MSC: 22E60 33C20 33C65

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Ata, Enes

M-Srivastava hypergeometric functions: integral representations and solution of fractional differential equations. (English) Zbl 07911202

Miskolc Math. Notes 25, No. 1, 93-108 (2024).

MSC: 30E20 33B15 33C65 34A08 44A10

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Bezuglov, M. A.; Onishchenko, A. I.

Expansion of hypergeometric functions in terms of polylogarithms with a nontrivial change of variables. (English. Russian original) Zbl 07908849

Theor. Math. Phys. 219, No. 3, 871-896 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 391-421 (2024).

MSC: 33C50 33C65 33C70 33B30 33F10 33-04

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Ernst, Thomas; Karlsson, Per W.

New transformation formulas for the fourth Lauricella function. (English) Zbl 07905942

Rend. Circ. Mat. Palermo (2) 73, No. 5, 1937-1973 (2024).

Reviewer: Peter Massopust (München)

MSC: 33C65 33C05

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Matsumoto, Keiji

Relative twisted homology and cohomology groups associated with Lauricella’s \(F_D\). (English) Zbl 07905779

Funkc. Ekvacioj, Ser. Int. 67, No. 2, 105-147 (2024).

Reviewer: Roberto S. Costas-Santos (Sevilla)

MSC: 33C65 33C80 55N25 55N33

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Bezrodnykh, S. I.

Generalizations of the Jacobi identity to the case of the Lauricella function \(F_D^{(N)}\). (English) Zbl 07901588

Integral Transforms Spec. Funct. 35, No. 10, 521-539 (2024).

MSC: 33C65 32D15

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Kimura, Hironobu

On the Lie algebra of contiguity for the hypergeometric functions \(F_A\), \(F_B\) and \(F_D\). (English) Zbl 07898740

Kyushu J. Math. 78, No. 1, 129-152 (2024).

Reviewer: Dmitry Artamonov (Moskva)

MSC: 33C80 33C65 33C70

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Dmytryshyn, R.; Lutsiv, I.-A.; Dmytryshyn, M.

On the analytic extension of the Horn’s hypergeometric function \(H_4\). (English) Zbl 07898615

Carpathian Math. Publ. 16, No. 1, 32-39 (2024).

MSC: 32A17 33C65 41A20 32D15

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Verma, Ashish; Yadav, Komal Singh; Patel, Raj Karan

On the incomplete fourth Appell hypergeometric matrix functions \(\gamma_4\) and \(\Gamma_4\). (English) Zbl 07896263

Proyecciones 43, No. 3, 539-553 (2024).

MSC: 33C65 15A15 33B15 33B20

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Ergashev, T. G.; Hasanov, A.; Yuldashev, T. K.

Some infinite expansions of the Lauricella functions and their application in the study of fundamental solutions of a singular elliptic equation. (English) Zbl 07896199

Lobachevskii J. Math. 45, No. 3, 1072-1085 (2024).

MSC: 33C65 35C05 35J75

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Arzikulov, Z. O.; Ergashev, T. G.

Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications. (English) Zbl 07896158

Lobachevskii J. Math. 45, No. 2, 591-603 (2024).

MSC: 33E30 33C05 33C15 33C20 33C65 35C05 35C10

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Hladun, V.; Rusyn, R.; Dmytryshyn, M.

On the analytic extension of three ratios of Horn’s confluent hypergeometric function \( \text{H}_7\). (English) Zbl 07889801

Res. Math. 32, No. 1, 60-70 (2024).

MSC: 33C65 40A15 30B70 30B40 32D15

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Azharuddin, Shaik; Kalita, Gautam

A family of algebraic curves and Appell series over finite fields. (English) Zbl 07887396

Ramanujan J. 64, No. 3, 823-834 (2024).

Reviewer: M. P. Chaudhary (New Delhi)

MSC: 33C65 33C05 33E50 14H45 14H50 11T24 11G20

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Gaunt, Robert E.; Nadarajah, Saralees; Pogány, Tibor K.

On Pólya’s random walk constants. (English) Zbl 07875305

Proc. Am. Math. Soc. 152, No. 8, 3593-3597 (2024).

MSC: 60G50 33C65

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Wojciechowski, Piotr; Subramani, K.

Proving the infeasibility of Horn formulas through Read-once resolution. (English) Zbl 07868443

Discrete Appl. Math. 354, 131-145 (2024).

MSC: 68Qxx 03Fxx 03Bxx

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Antonova, Tamara; Cesarano, Clemente; Dmytryshyn, Roman; Sharyn, Serhii

An approximation to Appell’s hypergeometric function \(F_2\) by branched continued fraction. (English) Zbl 1542.33016

Dolomites Res. Notes Approx. 17, No. 1, 22-31 (2024).

MSC: 33C65 33C50 33C05 40A15 11Y65

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Biricik, Neslihan; Özarslan, Mehmet Ali; Çekim, Bayram

Laguerre type twice-iterated Appell polynomials. (English) Zbl 1540.33021

Turk. J. Math. 48, No. 2, 360-376 (2024).

MSC: 33E30 33C65 33C45 11B68

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Ananthanarayan, B.; Bera, Souvik; Friot, S.; Pathak, Tanay

Olsson.wl & ROC2.wl: mathematica packages for transformations of multivariable hypergeometric functions & regions of convergence for their series representations in the two variables case. (English) Zbl 07853498

Comput. Phys. Commun. 300, Article ID 109162, 25 p. (2024).

MSC: 33-04 33C20 33C65 33C50 33C70 33F05 33F10 81Q30 81T18 68W30

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Blaschke, Petr

Towards a change of variable formula for “hypergeometrization”. (English) Zbl 1540.33014

J. Math. Anal. Appl. 537, No. 2, Article ID 128269, 32 p. (2024).

Reviewer: Arakaparampil M. Mathai (Montréal)

MSC: 33C65 33C70 33C15 33C20 33C05 40A30

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Bérczi, Kristóf; Boros, Endre; Makino, Kazuhisa

Hypergraph Horn functions. (English) Zbl 07844351

SIAM J. Discrete Math. 38, No. 2, 1417-1437 (2024).

MSC: 06E30 05C65 68Q25

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Dmytryshyn, R.; Cesarano, C.; Lutsiv, I.-A.; Dmytryshyn, M.

Numerical stability of the branched continued fraction expansion of Horn’s hypergeometric function \(H_4\). (English) Zbl 1537.32008

Mat. Stud. 61, No. 1, 51-60 (2024).

MSC: 32A17 30B70 33C65 65G50

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Arthur, Richard; Rabouin, David

On the unviability of interpreting Leibniz’s infinitesimals through non-standard analysis. (English) Zbl 07837727

Hist. Math. 66, 26-42 (2024).

MSC: 01A45 01A50 01A85 26E35

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Subramani, K.; Wojciechowki, Piotr; Velasquez, Alvaro

Farkas bounds on Horn constraint systems. (English) Zbl 07835106

Theory Comput. Syst. 68, No. 2, 227-249 (2024).

MSC: 03F20

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Grandjean, Étienne; Grente, Théo; Terrier, Véronique

Inductive definitions in logic versus programs of real-time cellular automata. (English) Zbl 07811868

Theor. Comput. Sci. 987, Article ID 114355, 59 p. (2024).

MSC: 68Qxx

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Lozin, Vadim; Zamaraev, Viktor

Union-closed sets and Horn Boolean functions. (English) Zbl 07796402

J. Comb. Theory, Ser. A 202, Article ID 105818, 9 p. (2024).

MSC: 06E30

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Jones, Gareth Aneurin; Zvonkin, Alexander K.

Orders of simple groups and the Bateman-Horn conjecture. (English) Zbl 1531.20036

Int. J. Group Theory 13, No. 3, 257-269 (2024).

Reviewer: Enrico Jabara (Venezia)

MSC: 20D60 11N32

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Bérczi, Kristóf; Boros, Endre; Makino, Kazuhisa

Matroid Horn functions. (English) Zbl 1530.05021

J. Comb. Theory, Ser. A 203, Article ID 105838, 24 p. (2024).

MSC: 05B35 52B40 05C65 68Q25 68R10

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Bailey, Rachel; Derevyagin, Maxim

DEK-type orthogonal polynomials and a modification of the Christoffel formula. (English) Zbl 1532.33020

J. Comput. Appl. Math. 438, Article ID 115561, 20 p. (2024).

Reviewer: Roberto S. Costas-Santos (Sevilla)

MSC: 33C47 33C45 33C65 42C05 47B36

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Harashita, Shushi; Yamamoto, Yuya

The multiplicity-one theorem for the superspeciality of curves of genus two. arXiv:2409.13212

Preprint, arXiv:2409.13212 [math.AG] (2024).

MSC: 14H10 33C65 14G17 11G20

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Hoffman, Jerome William; Tu, Fang-Ting

QM abelian varieties, hypergeometric character sums and modular forms. arXiv:2408.06562

Preprint, arXiv:2408.06562 [math.NT] (2024).

MSC: 11T23 11T24 11S40 11F80 11F85 33C05 33C65

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Losekoot, Théo; Genet, Thomas; Jensen, Thomas

Automata-based verification of relational properties of functions over algebraic data structures. (English) Zbl 07929322

Gaboardi, Marco (ed.) et al., 8th international conference on formal structures for computation and deduction, FSCD 2023, Rome, Italy, July 3–6, 2023. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 260, Article 7, 22 p. (2023).

MSC: 03B70 68Qxx

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Qureshi, M. I.; Paris, R. B.; Malik, S. H.; Shah, T. R.

Two reduction formulas for the Srivastava-Daoust double hypergeometric function. (English) Zbl 07920907

Palest. J. Math. 12, No. 1, 181-186 (2023).

MSC: 33C50 33C65 33C20

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Jain, S.; Younis, J.; Agarwal, P.; El Salam, Mohamed A. Abd

Certain new results for some Horn’s hypergeometric functions in two variables. (English) Zbl 07920902

Palest. J. Math. 12, No. 1, 125-132 (2023).

MSC: 33C65 33C50

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Thakkar, Yogesh M.; Shukla, Ajay K.

Some formulas for the function \({R_3}\left[{\mu,\mu',\delta,\delta';\gamma;\upsilon ,\tau ,{z_1},{z_2}}\right]\). (English) Zbl 1541.33013

Adv. Stud.: Euro-Tbil. Math. J. 16, No. 3, 53-66 (2023).

MSC: 33C65 33E12 33B15

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Cohen, Joel E.

Integer sequences with regularly varying counting functions have power-law variance functions. (English) Zbl 07856149

Integers 23, Paper A87, 19 p. (2023).

MSC: 11K31

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Chandola, Ankita; Pandey, Rupakshi Mishra

On some new inequalities and fractional kinetic equations associated with extended Gauss hypergeometric and confluent hypergeometric function. (English) Zbl 1540.33004

Int. J. Math. Ind. 15, No. 1, Article ID 2350009, 12 p. (2023).

MSC: 33C05 33C15 33C20 33C65 26A33 26D07 44A20

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Bromberger, Martin; Leutgeb, Lorenz; Weidenbach, Christoph

Symbolic model construction for saturated constrained Horn clauses. (English) Zbl 1540.03020

Sattler, Uli (ed.) et al., Frontiers of combining systems. 14th international symposium, Frocos 2023, Prague, Czech Republic, September 20–22, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14279, 137-155 (2023).

MSC: 03B35

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Èrgashev, Tukhtasin Gulamzhanovich; Khasanov, Anvar; Yuldashev, Tursun Kamaldinovich

Multiple Euler integral representations for the Kampé de Fériet functions. (English) Zbl 1537.33017

Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 4, 553-567 (2023).

MSC: 33C65 33C70

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Bahraminasab, M. R.; Ghominejad, M.

\( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters. (English. Russian original) Zbl 07824533

Theor. Math. Phys. 217, No. 2, 1640-1660 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 260-284 (2023).

MSC: 81R10 81T30 81T60 33C65

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Gutman, Alexander E.

A sentence preservation theorem for Boolean algebras. (English) Zbl 07806063

J. Math. Sci., New York 271, No. 6, Series A, 700-707 (2023).

MSC: 03Cxx 03Exx

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Cai, Qing-bo; Khammash, Ghazi S.; Moustafa, Shimaa I.; Shehata, Ayman

On some properties of the bibasic Humbert hypergeometric functions \(\Xi_1\) and \(\Xi_2\). (English) Zbl 07803429

Appl. Math., Ser. B (Engl. Ed.) 38, No. 4, 614-630 (2023).

MSC: 33D65 05A30 33D70 33C65 33C70

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Yadav, Sarasvati; Rani, Geeta

Recursion formulas or \(H_1-H_7\) Horn hypergeometric functions. (English) Zbl 07800615

Publ. Inst. Math., Nouv. Sér. 114(128), 81-90 (2023).

MSC: 33C65 11B37

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Hasanov, Anvar; Ergashev, Tuhtasin G.

Infinite summation formulas for triple Lauricella hypergeometric functions. (English) Zbl 1534.33011

J. Math. Sci., New York 274, No. 2, 215-227 (2023).

MSC: 33C65 40A05 40B05 40D05

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Dmytryshyn, R. I.; Lutsiv, I.-A. V.; Bodnar, O. S.

On the domains of convergence of the branched continued fraction expansion of ratio \(H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})\). (English) Zbl 1536.33012

Res. Math. 31, No. 2, 19-26 (2023).

Reviewer: Marcel G. de Bruin (Heemstede)

MSC: 33C65 32A17 32A10 40A15 30B70

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Bin-Saad, Meged B.; Ergashev, Tuhtasin G.; Ergasheva, Dildora A.; Hasanov, Anvarjon

Confluent Kampé de Fériet series arising in the solutions of Cauchy problem for the degenerate hyperbolic equation of the second kind with the spectral parameter. (English) Zbl 07794418

Math. Pannonica (N.S.) 29, No. 2, 153-168 (2023).

Reviewer: Thomas Ernst (Uppsala)

MSC: 33C65 35L80

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da Costa, Conrado; Menshikov, Mikhail V.; Wade, Andrew R.

Stochastic billiards with Markovian reflections in generalized parabolic domains. (English) Zbl 1540.37020

Ann. Appl. Probab. 33, No. 6B, 5459-5496 (2023).

MSC: 37A50 37H10 37C83 60J05 60J25 60K35 60K50

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Chandel, R. C. Singh; Pathan, M. A.; Kumar, Hemant

Identities of a general multiple Hurwitz-Lerch zeta function and applications. (English) Zbl 1538.11152

Jñānābha 53, No. 2, 86-94 (2023).

MSC: 11M35 33C65 33C70

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Chandel, R. C. Singh; Kumar, Hemant

Certain summation formulae and relations due to double series associated with the general hypergeometric type Hurwitz-Lerch zeta functions. (English) Zbl 1538.11151

Jñānābha 53, No. 1, 146-156 (2023).

MSC: 11M35 33C65

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Kumar, Hemant; Chandel, R. C. Singh

Relations and identities due to double series associated with general Hurwitz-Lerch type zeta functions. (English) Zbl 1538.11154

Jñānābha 53, No. 1, 28-37 (2023).

MSC: 11M35 33C65

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Menshikov, Mikhail V.; Mijatović, Aleksandar; Wade, Andrew R.

Reflecting Brownian motion in generalized parabolic domains: explosion and superdiffusivity. (English) Zbl 1536.60071

Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 4, 1813-1843 (2023).

Reviewer: Romeo Negrea (Timişoara)

MSC: 60J60 60F15 60J55 60J65 60K50

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Blicha, Martin; Britikov, Konstantin; Sharygina, Natasha

The Golem Horn solver. (English) Zbl 07787554

Enea, Constantin (ed.) et al., Computer aided verification. 35th international conference, CAV 2023, Paris, France, July 17–22, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 13965, 209-223 (2023).

MSC: 68V15 68Q60

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Baixeries, Jaume; Codocedo, Victor; Kaytoue, Mehdi; Napoli, Amedeo

Three views on dependency covers from an FCA perspective. (English) Zbl 07786583

Dürrschnabel, Dominik (ed.) et al., Formal concept analysis. 17th international conference, ICFCA 2023, Kassel, Germany, July 17–21, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13934, 78-94 (2023).

MSC: 68T30 68P15

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Bezrodnykh, S. I.

Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons. (English. Russian original) Zbl 1533.33022

Comput. Math. Math. Phys. 63, No. 11, 1955-1988 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1763-1798 (2023).

MSC: 33C65 33C60 33F10 30C20

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Davies, Isobel; Duarte, Eliana; Portakal, Irem; Sorea, Miruna-Ştefana

Families of polytopes with rational linear precision in higher dimensions. (English) Zbl 1540.52020

Found. Comput. Math. 23, No. 6, 2151-2202 (2023).

Reviewer: Matthias Schymura (Cottbus)

MSC: 52B20 14M25 62R01 65D17

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Mukai, Shigeo

Confluences of Appell’s \(F_2\) system of hypergeometric differential equations. (English) Zbl 1535.33013

Kyushu J. Math. 77, No. 1, 1-42 (2023).

Reviewer: Roberto S. Costas-Santos (Sevilla)

MSC: 33C65 33C70 33C80 33C15 34M03

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Agarwal, Ritu; Choi, Junesang; Kumar, Naveen; Parmar, Rakesh K.

Extensions of multiple Lauricella and Humbert’s confluent hypergeometric functions through a highly generalized Pochhammer symbol and their related properties. (English) Zbl 1532.33022

Bull. Korean Math. Soc. 60, No. 3, 575-591 (2023).

Reviewer: Dmitry Artamonov (Moskva)

MSC: 33C65 33C70 33C15 33C20 33B15

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Ernst, Thomas

On quadruple \(q\)-hypergeometric functions and diverse generalizations to \(n\) variables in the spirit of Exton. (English) Zbl 1532.33031

Bull. Iran. Math. Soc. 49, No. 5, Paper No. 73, 23 p. (2023).

MSC: 33D70 33C65 33D15

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Okuyama, Go; Saito, Mutsumi

Logarithmic \(A\)-hypergeometric series II. (English) Zbl 1532.33027

Beitr. Algebra Geom. 64, No. 4, 1057-1086 (2023).

MSC: 33C80 33C65 33C70

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Castellares, Fredy; Lemonte, Artur J.

On numerical problems in computing life annuities based on the Makeham-Beard law. (English) Zbl 1532.33024

Math. Slovaca 73, No. 5, 1317-1324 (2023).

MSC: 33C65 33F05 33F10 65D20

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Brychkov, Yu A.; Savischenko, N. V.

On some formulas for the confluent Horn functions \(H_{10}^{(c)} (a; c; w, z)\) and \(H_{11}^{(c)} (a, c, c'; d; w, z)\). (English) Zbl 1532.33023

Integral Transforms Spec. Funct. 34, No. 12, 915-930 (2023).

MSC: 33C65

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Maširević, Dragana Jankov; Pogány, Tibor K.

Bounds for confluent Horn function \(\Phi_2\) deduced by McKay \(I_\nu\) Bessel law. (English) Zbl 1524.33030

Rad Hrvat. Akad. Znan. Umjet. 555, Mat. Znan. 27, 123-131 (2023).

MSC: 33C10 33C70 33E20

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Blümlein, J.; Saragnese, M.; Schneider, C.

Hypergeometric structures in Feynman integrals. (English) Zbl 1526.33008

Ann. Math. Artif. Intell. 91, No. 5, 591-649 (2023).

MSC: 33F10 33C20 33C65 33E30 81Q30

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Imaz, Gonzalo E.

A first polynomial non-clausal class in many-valued logic. (English) Zbl 1522.03099

Fuzzy Sets Syst. 456, 1-37 (2023).

MSC: 03B70 03B52 68T27 68T37

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Ciungu, Lavinia Corina

Valued quantum B-algebras. (English) Zbl 1522.03333

Fuzzy Sets Syst. 455, 1-18 (2023).

MSC: 03G12 03G25 06F07 06F35

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Bezrodnykh, S. I.

Constructing basises in solution space of the system of equations for the Lauricella function \(\mathrm{F_D^{(N)}}\). (English) Zbl 1527.33012

Integral Transforms Spec. Funct. 34, No. 11, 813-834 (2023).

Reviewer: Thomas Ernst (Uppsala)

MSC: 33C65 33C90 32D15

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Sbardolini, Giorgio

The logic of lexical connectives. (English) Zbl 07753832

J. Philos. Log. 52, No. 5, 1327-1353 (2023).

MSC: 03-XX

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Ernst, Thomas

On intermediate \(q\)-Lauricella functions in the spirit of Karlsson, Chandel Singh and Gupta. (English) Zbl 1531.33036

Ann. Univ. Mariae Curie-Skłodowska, Sect. A 77, No. 1, 13-23 (2023).

MSC: 33D70 33C65 05A30

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Srivastava, H. M.

Some families of generating functions and associated hypergeometric transformations. (English) Zbl 07752929

J. Nonlinear Convex Anal. 24, No. 10, 2329-2349 (2023).

MSC: 33C20 33C05 33C45 44A10 33B15 33C60 33C65

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Paradan, Paul-Emile

Horn problem for quasi-Hermitian Lie groups. (English) Zbl 1529.22005

J. Inst. Math. Jussieu 22, No. 6, 2805-2831 (2023).

Reviewer: Egle Bettio (Venezia)

MSC: 22E15 20F40 22E30 53C55

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Takhanov, Rustem

The algebraic structure of the densification and the sparsification tasks for CSPs. (English) Zbl 1522.68242

Constraints 28, No. 1, 13-44 (2023).

MSC: 68Q25 03B70 06A15 68R07

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Pandey, S. C.; Chaudhary, K.

Certain unified integrals involving a product of the four-parameter Bessel function and Jacobi polynomial. (English) Zbl 1531.33008

J. Ramanujan Soc. Math. Math. Sci. 10, No. 2, 107-120 (2023).

MSC: 33C10 33C20 33C45 33C65

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Mohammed, Asmaa Orabi; Rakha, Medhat Ahmed; Rathie, Arjun K.

A note on certain transformation formulas related to Appell, Horn and Kampé de Fériet functions. (English) Zbl 1532.33025

Commun. Korean Math. Soc. 38, No. 3, 807-819 (2023).

Reviewer: Roberto S. Costas-Santos (Sevilla)

MSC: 33C65 33B15 33C05 33C15 33C20

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Najafov, Alik M.; Eroglu, Ahmet.; Mustafayeva, Firide F.

On some embedding theorems in grand Nikolskii-Morrey spaces with dominant mixed derivatives. (English) Zbl 1533.46029

Trans. A. Razmadze Math. Inst. 177, No. 1, 85-92 (2023).

MSC: 46E30 42B35

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Wang, Xiaoxia; Yu, Menglin

A generalisation of a supercongruence on the truncated Appell series \(F_3\). (English) Zbl 1530.11005

Bull. Aust. Math. Soc. 107, No. 2, 296-303 (2023).

Reviewer: Enzo Bonacci (Latina)

MSC: 11A07 11B65 33D15 33C65 33C20

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Ito, Ryojun; Kumabe, Satoshi; Nakagawa, Akio; Nemoto, Yusuke

Kampé de Fériet hypergeometric functions over finite fields. (English) Zbl 1531.33028

Res. Number Theory 9, No. 3, Paper No. 52, 28 p. (2023).

MSC: 33C70 33C65 33C90 11L05 11T24

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Paradan, Paul-Emile

\(\mathrm{Horn}(p, q)\). (English) Zbl 1525.32013

Sel. Math., New Ser. 29, No. 4, Paper No. 51, 30 p. (2023).

Reviewer: Jacques Faraut (Paris)

MSC: 32M05 53D20

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Antonova, Tamara; Dmytryshyn, Roman; Sharyn, Serhii

Branched continued fraction representations of ratios of Horn’s confluent function \(\mathrm{H}_6\). (English) Zbl 1524.33069

Constr. Math. Anal. 6, No. 1, 22-37 (2023).

MSC: 33C65 32A17 40A99

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Ananthanarayan, B.; Bera, Souvik; Friot, S.; Marichev, O.; Pathak, Tanay

On the evaluation of the Appell \(F_2\) double hypergeometric function. (English) Zbl 1530.33026

Comput. Phys. Commun. 284, Article ID 108589, 28 p. (2023).

MSC: 33F10 33F05 33C05 33C65 65D20

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Tripathi, Mohit

Appell series over finite fields and modular forms. (English) Zbl 1535.33014

Finite Fields Appl. 90, Article ID 102230, 20 p. (2023).

Reviewer: Lei Yang (Beijing)

MSC: 33C65 33C05 33C20 11F30 11F03

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Özarslan, Mehmet Ali; Çekim, Bayram

Confluent Appell polynomials. (English) Zbl 1530.33011

J. Comput. Appl. Math. 424, Article ID 114984, 21 p. (2023).

MSC: 33C65 33C45

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Özat, Zeynep; Özarslan, Mehmet Ali; Çekim, Bayram

On Bell based Appell polynomials. (English) Zbl 1515.33011

Turk. J. Math. 47, No. 4, 1099-1128 (2023).

MSC: 33C65 11B73 11B68

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Parker, Jason

Exponentiability in categories of relational structures. (English) Zbl 1516.18002

Theory Appl. Categ. 39, 493-518 (2023).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18D15 06F07 08A02 18C35

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Balestrieri, Francesca; Rome, Nick

Average Bateman-Horn for Kummer polynomials. (English) Zbl 1525.11103

Acta Arith. 207, No. 4, 315-350 (2023).

MSC: 11N32 11N36 11N37 11P55 14G05

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Lai, Sheng-Hong; Lee, Jen-Chi; Yang, Yi

Residues of bosonic string scattering amplitudes and the Lauricella functions. (English) Zbl 1523.81156

Nucl. Phys., B 991, Article ID 116214, 53 p. (2023).

MSC: 81U05 32A27 03D30 55P50 33C65 81V73 26A18

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Abdalla, Mohamed; Abd-Elmageed, Hala; Abul-Ez, Mahmoud; Zayed, Mohra

Further investigations on the two variables second Appell hypergeometric matrix function. (English) Zbl 1514.15013

Quaest. Math. 46, No. 3, 519-536 (2023).

MSC: 15A16 33C65 34A05 33D15 33C05

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Guettai, Ghania; Laissaoui, Diffalah; Rahmani, Mourad; Sebaoui, Madjid

Recurrence relation for the Appell sequences. (English) Zbl 1516.33010

Integral Transforms Spec. Funct. 34, No. 5, 414-429 (2023).

Reviewer: Roberto S. Costas-Santos (Sevilla)

MSC: 33C65 33C05 11B68 11B83

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Brychkov, Yu. A.; Savischenko, N. V.

On some formulas for the confluent Horn functions \(H_3^{(c)}\, (a, b, c; d; w, z)\), \(H_4^{(c)}\, (a, c; d; w, z)\) and \(H_9^{(c)}\, (a, b; c; w, z)\). (English) Zbl 1531.33026

Integral Transforms Spec. Funct. 34, No. 4, 275-294 (2023).

Reviewer: Showkat Ahmad (Sopore)

MSC: 33C65 33C70 33C50 33C15 33C05 33C20

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Huang, Shaowu

A new version of Schur-Horn type theorem. (English) Zbl 1517.15012

Linear Multilinear Algebra 71, No. 1, 41-46 (2023).

Reviewer: Ctirad Matonoha (Praha)

MSC: 15A45 15A18 15A42 15B48

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Belafhal, Abdelmajid; Nossir, Naima; Dalil-Essakali, Latifa; Usman, Talha

Certain integral transforms involving Appell and Bessel functions and their applications. (English) Zbl 1531.44006

Analysis, München 43, No. 2, 105-116 (2023).

MSC: 44A20 33B15 33C10 33C15 33C65 78M99

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Nasyrov, Semen; Sugawa, Toshiyuki; Vuorinen, Matti

Moduli of quadrilaterals and quasiconformal reflection. (English) Zbl 1516.30010

J. Math. Anal. Appl. 524, No. 2, Article ID 127092, 27 p. (2023).

Reviewer: Dimitrios Betsakos (Thessaloniki)

MSC: 30C20 33C65 33C90 33E05

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Jones, Gareth A.; Zvonkin, Alexander K.

Groups of prime degree and the Bateman-Horn conjecture. (English) Zbl 1522.20007

Expo. Math. 41, No. 1, 1-19 (2023).

Reviewer: Enrico Jabara (Venezia)

MSC: 20B05 20B25 20H20 11A41

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Qureshi, M. I.; Paris, R. B.; Khan, M. Kashif

Applications of two summation theorems of Gosper for the \(_5F_4\) hypergeometric series. (English) Zbl 1539.33012

J. Sib. Fed. Univ., Math. Phys. 16, No. 1, 142-148 (2023).

MSC: 33C70 33C65 33C20

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Mortenson, Eric T.; Postnova, Olga; Solovyev, Dmitry

On string functions and double-sum formulas. (English) Zbl 1539.11070

Res. Math. Sci. 10, No. 2, Paper No. 15, 23 p. (2023).

Reviewer: Matthew Krauel (Sacramento)

MSC: 11F22 11B65 11F27 17B67 33C65

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Abbas, Hafida; Azzouz, Abdelhalim; Zahaf, Mohammed Brahim; Belmekki, Mohammed

Generalized extended Riemann-Liouville type fractional derivative operator. (English) Zbl 1524.26009

Kragujevac J. Math. 47, No. 1, 57-80 (2023).

MSC: 26A33 33B15 33B20 33C20 33C65

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Ferreira, Rui A. C.; Simon, Thomas

Convolution of beta prime distribution. (English) Zbl 1505.60021

Trans. Am. Math. Soc. 376, No. 2, 855-890 (2023).

MSC: 60E05 26A48 33C15 33C20 33C45 33C65 60E07 60E15 62E15

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Found 2,570 Documents (Results 1–100)

A novel way of calculating scattering integrals. (English) Zbl 07924230

Asymptotics of the Humbert function \(\Psi_1\) for two large arguments. (English) Zbl 07922379

The incomplete matrix beta function and its application to first Appell hypergeometric matrix function. (English) Zbl 07916010

Fractional Hermite-Kampé de Fériet and related polynomials. (English) Zbl 07915037

Some properties of \(\Psi\)-gamma, \(\Psi\)-beta and \(\Psi\)-hypergeometric matrix functions. (English) Zbl 07912330

On models of the Lie algebra \(\mathcal{K}_5\) and Lauricella functions using an integral transformation. (English) Zbl 07911217

M-Srivastava hypergeometric functions: integral representations and solution of fractional differential equations. (English) Zbl 07911202

Expansion of hypergeometric functions in terms of polylogarithms with a nontrivial change of variables. (English. Russian original) Zbl 07908849

New transformation formulas for the fourth Lauricella function. (English) Zbl 07905942

Relative twisted homology and cohomology groups associated with Lauricella’s \(F_D\). (English) Zbl 07905779

Generalizations of the Jacobi identity to the case of the Lauricella function \(F_D^{(N)}\). (English) Zbl 07901588

On the Lie algebra of contiguity for the hypergeometric functions \(F_A\), \(F_B\) and \(F_D\). (English) Zbl 07898740

On the analytic extension of the Horn’s hypergeometric function \(H_4\). (English) Zbl 07898615

On the incomplete fourth Appell hypergeometric matrix functions \(\gamma_4\) and \(\Gamma_4\). (English) Zbl 07896263

Some infinite expansions of the Lauricella functions and their application in the study of fundamental solutions of a singular elliptic equation. (English) Zbl 07896199

Some systems of PDE associated with the multiple confluent hypergeometric functions and their applications. (English) Zbl 07896158

On the analytic extension of three ratios of Horn’s confluent hypergeometric function \( \text{H}_7\). (English) Zbl 07889801

A family of algebraic curves and Appell series over finite fields. (English) Zbl 07887396

On Pólya’s random walk constants. (English) Zbl 07875305

Proving the infeasibility of Horn formulas through Read-once resolution. (English) Zbl 07868443

An approximation to Appell’s hypergeometric function \(F_2\) by branched continued fraction. (English) Zbl 1542.33016

Laguerre type twice-iterated Appell polynomials. (English) Zbl 1540.33021

Olsson.wl & ROC2.wl: mathematica packages for transformations of multivariable hypergeometric functions & regions of convergence for their series representations in the two variables case. (English) Zbl 07853498

Towards a change of variable formula for “hypergeometrization”. (English) Zbl 1540.33014

Hypergraph Horn functions. (English) Zbl 07844351

Numerical stability of the branched continued fraction expansion of Horn’s hypergeometric function \(H_4\). (English) Zbl 1537.32008

On the unviability of interpreting Leibniz’s infinitesimals through non-standard analysis. (English) Zbl 07837727

Farkas bounds on Horn constraint systems. (English) Zbl 07835106

Inductive definitions in logic versus programs of real-time cellular automata. (English) Zbl 07811868

Union-closed sets and Horn Boolean functions. (English) Zbl 07796402

Orders of simple groups and the Bateman-Horn conjecture. (English) Zbl 1531.20036

Matroid Horn functions. (English) Zbl 1530.05021

DEK-type orthogonal polynomials and a modification of the Christoffel formula. (English) Zbl 1532.33020

The multiplicity-one theorem for the superspeciality of curves of genus two. arXiv:2409.13212

QM abelian varieties, hypergeometric character sums and modular forms. arXiv:2408.06562

Automata-based verification of relational properties of functions over algebraic data structures. (English) Zbl 07929322

Two reduction formulas for the Srivastava-Daoust double hypergeometric function. (English) Zbl 07920907

Certain new results for some Horn’s hypergeometric functions in two variables. (English) Zbl 07920902

Some formulas for the function \({R_3}\left[{\mu,\mu',\delta,\delta';\gamma;\upsilon ,\tau ,{z_1},{z_2}}\right]\). (English) Zbl 1541.33013

Integer sequences with regularly varying counting functions have power-law variance functions. (English) Zbl 07856149

On some new inequalities and fractional kinetic equations associated with extended Gauss hypergeometric and confluent hypergeometric function. (English) Zbl 1540.33004

Symbolic model construction for saturated constrained Horn clauses. (English) Zbl 1540.03020

Multiple Euler integral representations for the Kampé de Fériet functions. (English) Zbl 1537.33017

\( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters. (English. Russian original) Zbl 07824533

A sentence preservation theorem for Boolean algebras. (English) Zbl 07806063

On some properties of the bibasic Humbert hypergeometric functions \(\Xi_1\) and \(\Xi_2\). (English) Zbl 07803429

Recursion formulas or \(H_1-H_7\) Horn hypergeometric functions. (English) Zbl 07800615

Infinite summation formulas for triple Lauricella hypergeometric functions. (English) Zbl 1534.33011

On the domains of convergence of the branched continued fraction expansion of ratio \(H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})\). (English) Zbl 1536.33012

Confluent Kampé de Fériet series arising in the solutions of Cauchy problem for the degenerate hyperbolic equation of the second kind with the spectral parameter. (English) Zbl 07794418

Stochastic billiards with Markovian reflections in generalized parabolic domains. (English) Zbl 1540.37020

Identities of a general multiple Hurwitz-Lerch zeta function and applications. (English) Zbl 1538.11152

Certain summation formulae and relations due to double series associated with the general hypergeometric type Hurwitz-Lerch zeta functions. (English) Zbl 1538.11151

Relations and identities due to double series associated with general Hurwitz-Lerch type zeta functions. (English) Zbl 1538.11154

Reflecting Brownian motion in generalized parabolic domains: explosion and superdiffusivity. (English) Zbl 1536.60071

The Golem Horn solver. (English) Zbl 07787554

Three views on dependency covers from an FCA perspective. (English) Zbl 07786583

Formulas for computing Euler-type integrals and their application to the problem of constructing a conformal mapping of polygons. (English. Russian original) Zbl 1533.33022

Families of polytopes with rational linear precision in higher dimensions. (English) Zbl 1540.52020

Confluences of Appell’s \(F_2\) system of hypergeometric differential equations. (English) Zbl 1535.33013

Extensions of multiple Lauricella and Humbert’s confluent hypergeometric functions through a highly generalized Pochhammer symbol and their related properties. (English) Zbl 1532.33022

On quadruple \(q\)-hypergeometric functions and diverse generalizations to \(n\) variables in the spirit of Exton. (English) Zbl 1532.33031

Logarithmic \(A\)-hypergeometric series II. (English) Zbl 1532.33027

On numerical problems in computing life annuities based on the Makeham-Beard law. (English) Zbl 1532.33024

On some formulas for the confluent Horn functions \(H_{10}^{(c)} (a; c; w, z)\) and \(H_{11}^{(c)} (a, c, c'; d; w, z)\). (English) Zbl 1532.33023

Bounds for confluent Horn function \(\Phi_2\) deduced by McKay \(I_\nu\) Bessel law. (English) Zbl 1524.33030

Hypergeometric structures in Feynman integrals. (English) Zbl 1526.33008

A first polynomial non-clausal class in many-valued logic. (English) Zbl 1522.03099

Valued quantum B-algebras. (English) Zbl 1522.03333

Constructing basises in solution space of the system of equations for the Lauricella function \(\mathrm{F_D^{(N)}}\). (English) Zbl 1527.33012

The logic of lexical connectives. (English) Zbl 07753832

On intermediate \(q\)-Lauricella functions in the spirit of Karlsson, Chandel Singh and Gupta. (English) Zbl 1531.33036

Some families of generating functions and associated hypergeometric transformations. (English) Zbl 07752929

Horn problem for quasi-Hermitian Lie groups. (English) Zbl 1529.22005