A generalization of a result on generating functions of modified Laguerre polynomial by using the notion of partial quasibilinear generating function. (English) Zbl 07905310
MSC:
33C45
Found 138 Documents (Results 1–100)
Towards Ulam type multi stability analysis. A novel approach for fuzzy dynamical systems. (English) Zbl 1539.33002
Studies in Systems, Decision and Control 523. Cham: Springer (ISBN 978-3-031-55563-3/hbk; 978-3-031-55566-4/pbk; 978-3-031-55564-0/ebook). xix, 571 p. (2024).
An extension problem, trace Hardy and Hardy’s inequalities for the Ornstein-Uhlenbeck operator. (English) Zbl 07730957
On the approximation of functions by Jacobi-Dunkl expansions in the weighted space \({\mathbb{L}}_2^{\left(\alpha ,\beta \right)} \). (English) Zbl 1539.41009
Ukr. Math. J. 74, No. 10, 1629-1644 (2023); and Ukr. Mat. Zh. 74, No. 10, 1427-1440 (2022).
Reviewer: Sergei S. Platonov (Petrozavodsk)
Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials. (English) Zbl 1521.81020
Coherent pairs and Sobolev-type orthogonal polynomials on the real line: an extension to the matrix case. (English) Zbl 1540.42048
Convolutions and integral equations weighted by multi-dimensional Hermite functions. (English) Zbl 1506.45004
On the conformal spin dependence of the perturbative QCD vacuum singularity. (English) Zbl 1522.81712
Structural formulas for matrix-valued orthogonal polynomials related to \(2\times 2\) hypergeometric operators. (English) Zbl 1491.42041
Orthogonal polynomials in the spectral analysis of Markov processes. Birth-death models and diffusion. (English) Zbl 1507.60001
Encyclopedia of Mathematics and its Applications 181. Cambridge: Cambridge University Press (ISBN 978-1-316-51655-3/hbk; 978-1-009-03054-0/ebook). xii, 334 p. (2022).
Reviewer: Lalit Mohan Upadhyaya (Dehradun)
MSC:
60-01
33-01
33C10
33C45
44A10
44A60
47D07
60J05
60J10
60J20
60J22
60J25
60J28
60J35
60J60
60J65
60J70
65C40
92D25
On the area of the fundamental region of a binary form associated with algebraic trigonometric quantities. (English) Zbl 1530.11036
Reviewer: Dimitros Poulakis (Thessaloniki)
Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality. (English) Zbl 07346920
Reviewer: Trieu Le (Toledo)
Nonlinear oscillations. Exact solutions and their approximations. (English) Zbl 1482.70001
Cham: Springer (ISBN 978-3-030-53171-3/hbk; 978-3-030-53174-4/pbk; 978-3-030-53172-0/ebook). x, 273 p. (2020).
Reviewer: Piotr Garbaczewski (Opole)
A special orthogonal complement basis for holomorphic-Hermite functions and associated \(1d\)- and \(2d\)-fractional Fourier transforms. (English) Zbl 1442.42061
Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle. (English) Zbl 1442.42067
An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates. (English) Zbl 1449.65331
Riemann-Liouville operator in weighted \(L_p\) spaces via the Jacobi series expansion. (English) Zbl 1437.47022
Associated matrix polynomials with the second kind Chebyshev matrix polynomials. (English) Zbl 1416.33030
Approximation by a class of \(q\)-beta operators of the second kind via the Dunkl-type generalization on weighted spaces. (English) Zbl 1416.41033
Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices. (English. Russian original) Zbl 1396.15018
Russ. Math. 61, No. 12, 57-69 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 12, 66-79 (2017).
Reviewer: Jaydeb Sarkar (Bangalore)
Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method. (English) Zbl 1369.35041
Some remarks on harmonic projection operators on spheres. (English) Zbl 1376.43009
“Bruno Pini” Mathematical Analysis Seminar 2016. Papers from the seminar, University of Bologna, Bologna, Italy, 2016. Bologna: Università di Bologna, Alma Mater Studiorum. 1-17 (2016).
Reviewer: Lubomira Softova (Salerno)
Squeezed states and Hermite polynomials in a complex variable. (English) Zbl 1315.81053
Reviewer: Bernhard Bodmann (Houston)
Two stochastic models of a random walk in the \(\mathrm U(n)\)-spherical duals of \(U(n+1)\). (English) Zbl 1279.60010
Reviewer: Michael Voit (Dortmund)
Central limit theorems for hyperbolic spaces and Jacobi processes on \([0,\infty [\). (English) Zbl 1276.60028
Reviewer: Norbert Youmbi (Loretto)
Matrix Orthogonal Polynomial in the theory of Full Kostant-Toda Systems. arXiv:1305.2644
Preprint, arXiv:1305.2644 [math.CA] (2013).
Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group. (English) Zbl 1266.46020
Reviewer: Joseph Lakey (Las Cruces)
Bounds for the perimeter of an ellipse. (English) Zbl 1248.33024
Reviewer: Leonid Golinskii (Kharkov)
Inversion of the Dunkl-Hermite semigroup. (English) Zbl 1266.47062
Reviewer: Martin Grothaus (Kaiserslautern)
Shift operators on the base \(a\) (\(a>0,\neq 1\)) and pseudo-polynomials of fractional order. (English) Zbl 1235.33008
Lipschitz spaces with respect to Jacobi translation. (English) Zbl 1238.46019
Reviewer: Francisco Pérez Acosta (La Laguna)
Orthogonality of Hermite polynomials in superspace and Mehler type formulae. (English) Zbl 1233.33004
Reviewer: Marcel G. de Bruin (Haarlem)
Classical proofs of Kato type smoothing estimates for the Schrödinger equation with quadratic potential in \(\mathbb R^{n+1}\) with application. (English) Zbl 1240.35429
Reviewer: Milan Pokorný (Praha)
Spinor field equation of arbitrary spin in Robertson-Walker space-time: solution. (English) Zbl 1206.81092
Generalizations of two-index two-variable Hermite matrix polynomials. (English) Zbl 1186.15019
Reviewer: Mohammad Sal Moslehian (Mashhad)
A characterization of probability measures in terms of Wick product inequalities. (English) Zbl 1160.33008
Reviewer: Alicia Cachafeiro López (Vigo)
Ultrarapidly decreasing ultradifferentiable functions, Wigner distributions and density matrices. (English) Zbl 1170.46007
Reviewer: Michael Langenbruch (Oldenburg)
The hypergroup property and representation of Markov kernels. (English) Zbl 1215.82003
Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLI. Some papers are selected contributions of the seminars in Nancy 2005 and Luminy 2006. Berlin: Springer (ISBN 978-3-540-77912-4/pbk). Lecture Notes in Mathematics 1934, 297-347 (2008).
Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel. (English) Zbl 1132.41308
Dirac oscillator with minimal lengths and free particle on \(\text{AdS}_2\) and \(S^2\). (English) Zbl 1152.81598
Laguerre matrix polynomial series expansion: theory and computer applications. (English) Zbl 1137.15014
Some families of multilateral generating functions for the Gegenbauer (or ultraspherical) polynomials and associated hypergeometric polynomials. (English) Zbl 1138.33007
Reviewer: H. S. P. Shrivastava (Ratlam)
Transplantation theorem for Jacobi series in weighted Hardy spaces. II. (English) Zbl 1101.33007
Reviewer: Leonid Golinskii (Kharkov)
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. (English) Zbl 1099.14038
Etingof, Pavel (ed.) et al., The unity of mathematics. In honor of the ninetieth birthday of I. M. Gelfand. Papers from the conference held in Cambridge, MA, USA, August 31–September 4, 2003. Boston, MA: Birkhäuser (ISBN 0-8176-4076-2/hbk). Progress in Mathematics 244, 387-420 (2006).
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. (English) Zbl 1099.14037
Bernstein, Joseph (ed.) et al., Studies in Lie theory. Dedicated to A. Joseph on his sixtieth birthday. Basel: Birkhäuser (ISBN 0-8176-4342-7/hbk). Progress in Mathematics 243, 319-364 (2006).
Reviewer: Dmitri Panyushev (Moskva)
Orthogonal polynomials and Banach algebras. (English) Zbl 1119.33011
zu Castell, Wolfgang (ed.) et al., Inzell lectures on orthogonal polynomials. Lectures from the 2nd summer school, Inzell, Germany, September 17–21, 2001. Hauppauge, NY: Nova Science Publishers (ISBN 1-59454-108-6/hbk). Advances in the Theory of Special Functions and Orthogonal Polynomials, 103-139 (2005).
Reviewer: Stamatis Koumandos (Nicosia)
Polynomial bases for continuous function spaces. (English) Zbl 1090.46505
Mache, Detlef H. (ed.) et al., Trends and applications in constructive approximation. Papers of the 4th IBoMAT meeting, Witten-Bommerholz, Germany, February 15–19, 2004. Basel: Birkhäuser (ISBN 3-7643-7124-2/hbk). ISNM. International Series of Numerical Mathematics 151, 195-205 (2005).
Reviewer: Stamatis Koumandos (Nicosia)
Generalization of matching extensions in graphs – combinatorial interpretation of orthogonal and \(q\)-orthogonal polynomials. (English) Zbl 1066.05112
Jacobi matrix differential equation, polynomial solutions, and their properties. (English) Zbl 1069.33007
Reviewer: Youssef Ben Cheikh (Monastir)
Embedding of dynamical symmetry groups \(U(1,1)\) and \(U(2)\) of a free particle on AdS\(_2\) and \(S^2\) into parasupersymmetry algebra. (English) Zbl 1059.81040
On the generalized ultraspherical or Gegenbauer functions of fractional orders. (English) Zbl 1057.33008
Reviewer: Tej Singh Nahar (Bhilwara)
MSC:
33C45
\(p\)-adic analysis and the calculus of finite differences. (English) Zbl 1038.11077
Schikhof, W. H. (ed.) et al., Ultrametric functional analysis. Proceedings of the seventh international conference on \(p\)-adic functional analysis, Nijmegen, The Netherlands, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2889-4/pbk). Contemp. Math. 319, 413-422 (2003).
Reviewer: Anatoly N. Kochubei (Kyïv)
Ettore Majorana: Notes on theoretical physics. (English) Zbl 1041.81001
Fundamental Theories of Physics 133. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1649-2/hbk). xxv, 484 p. (2003).
Reviewer: A. A. Bogush (Minsk)
Two-index multidimensional Gegenbauer polynomials and their integral representations. (English) Zbl 1038.33004
Reviewer: H.-J. Glaeske (Jena)
Topics in quantum mechanics. (English) Zbl 1026.81001
Progress in Mathematical Physics. 27. Boston, MA: Birkhäuser. xv, 396 p. (2003).
Reviewer: Eckhard Giere (Clausthal-Zellerfeld)
Holomorphic spaces related to orthogonal polynomials and analytic continuation of functions. (English) Zbl 1003.46017
Saitoh, Saburou (ed.) et al., Analytic extension formulas and their applications. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 9, 169-187 (2001).
Discrepancy convergence for the Drunkard’s walk on the sphere. (English) Zbl 0978.60011
Reviewer: Michael Voit (Tübingen)
Explicit formulas for reproducing kernels of generalized Bargmann spaces of \({\mathbb{C}}^n\). (English) Zbl 1030.46025
Reviewer: Maria Roginskaya (Waterloo, Ontario)
Some families of generating functions and polynomial expansions involving systems in one and more complex variables. (English) Zbl 0949.33011
Rassias, Themistocles M. (ed.), Complex analysis in several variables. Palm Harbor, FL: Hadronic Press. 149-183 (1999).
Reviewer: Arun Kumar Agarwal (Grambling)
Complete systems of Gegenbauer polynomials in spaces of holomorphic functions. (English) Zbl 1033.30003
Asymptotic of heat kernels on projective spaces of large dimensions and on disk hypergroups. (English) Zbl 0922.60017
Reviewer: Anatoly N.Kochubei (Kiev)
Generating functions of the Jacobi polynomials and related Hilbert spaces of analytic functions. (English) Zbl 0918.46028
Reviewer: R.Mortini (Metz)
Biorthogonal Appell systems in analysis on co-nuclear spaces. (English. Russian original) Zbl 0941.46003
Funct. Anal. Appl. 32, No. 1, 53-56 (1998); translation from Funkts. Anal. Prilozh. 32, No. 1, 69-72 (1998).
Reviewer: J.B.Cooper (Linz)
On Hermite matrix polynomials and Hermite matrix functions. (English) Zbl 0911.15015
Reviewer: A.Martínez Finkelshtein (Almeria)
Laguerre hypergroup and limit theorem. (English) Zbl 0905.60016
Komrakov, B. P. (ed.) et al., Lie groups and Lie algebras. Their representations, generalisations and applications. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 433, 133-145 (1998).
Recurrence-shift relations for the polynomial functions of Aldaya, Bisquert, and Navarro-Salas. (English) Zbl 1291.33012
Orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional: Basic theory. (English) Zbl 0911.15014
Reviewer: A.Martínez Finkelshtein (Almeria)
Computation of Jacobi functions of the second kind for use in nearside-farside scattering theory. (English) Zbl 0887.65019
Reviewer: L.Gatteschi (Torino)
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