Found 96 Documents (Results 1–96)
Artin-Schreier, Erdős, and Kurepa’s conjecture. (English) Zbl 1536.11188
Reviewer: Jebrel M. Habeb (Irbid)
Derivation of computational formulas for certain class of finite sums: approach to generating functions arising from \(p\)-adic integrals and special functions. (English) Zbl 1538.05010
Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters. (English) Zbl 07780970
Reviewer: Yilmaz Simsek (Antalya)
Formulas and combinatorial identities for Catalan-type numbers and polynomials: their analysis with computational algorithms. (English) Zbl 1514.05020
Reviewer: Matthew C. Lettington (Cardiff)
A study on \(q\)-analogue of degenerate \(\frac{1}{2}\)-Changhee numbers and polynomials. (English) Zbl 1513.11090
Recurrences and congruences for higher-order geometric polynomials and related numbers. (English) Zbl 1511.11028
Ukr. Math. J. 73, No. 12, 1873-1894 (2022); and Ukr. Mat. Zh. 73, No. 12, 1619-1637 (2021).
Reviewer: Uğur Duran (Iskenderun)
New results on Bernoulli numbers of higher order. (English) Zbl 1496.11035
Reviewer: Hacène Belbachir (El Alia)
Formulas for characteristic function and moment generating functions of beta type distribution. (English) Zbl 1493.62258
Combinatorial sums involving Fubini type numbers and other special numbers and polynomials: approach trigonometric functions and \(p\)-adic integrals. (English) Zbl 1499.05039
On poly-Bell numbers and polynomials. (English) Zbl 1486.11033
Reviewer: Balasubramanian Sury (Bangalore)
Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials. (English) Zbl 1480.11027
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 167, 24 p. (2021).
Reviewer: Ismail Naci Cangül (Bursa)
New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. (English) Zbl 1473.11055
New construction of type 2 degenerate central Fubini polynomials with their certain properties. (English) Zbl 1486.11030
\(p\)-adic integral on \(\mathbb{Z}_p\) associated with degenerate Bernoulli polynomials of the second kind. (English) Zbl 1482.11030
Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae-Stirling numbers. (English) Zbl 1482.11033
Identities involving the degenerate generalized \((p,q)\)-poly-Bernoulli numbers and polynomials. (English) Zbl 1499.11092
Some identities involving the degenerate Bell-Carlitz polynomials arising from differential equation. (English) Zbl 1499.11126
Derivation of computational formulas for Changhee polynomials and their functional and differential equations. (English) Zbl 1503.11050
Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials. (English) Zbl 1482.11031
Formulas involving sums of powers, special numbers and polynomials arising from \(p\)-adic integrals, trigonometric and generating functions. (English) Zbl 1476.11043
A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. (English) Zbl 1446.11037
Ukr. Math. J. 72, No. 4, 536-554 (2020) and Ukr. Mat. Zh. 72, No. 4, 467-482 (2020).
A note on the generalized Bernoulli polynomials with \((p, q)\)-polylogarithm function. (English) Zbl 1463.11066
Identities and relations for Fubini type numbers and polynomials via generating functions and \(p\)-adic integral approach. (English) Zbl 1499.05036
Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. (English) Zbl 1453.11033
On higher order \((p, q)\)-Frobenius-Genocchi numbers and polynomials. (English) Zbl 1444.05022
Reviewer: Uğur Duran (Hatay)
Some \((p, q)\)-analogues of Apostol type numbers and polynomials. (English) Zbl 1479.11045
Reviewer: Ali Reza Moghaddamfar (Tehran)
On \(p\)-adic integral for generalized degenerate Hermite-Bernoulli polynomials attached to \(\chi\) of higher order. (English) Zbl 1423.11054
Some identities of fully degenerate Bell polynomials arising from differential equations. (English) Zbl 1423.11057
Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach. (English) Zbl 1429.11046
Quadratic fields, Artin-Schreier extensions, and Bell numbers. arXiv:1912.04647
Preprint, arXiv:1912.04647 [math.NT] (2019).
Special numbers and polynomials including their generating functions in umbral analysis methods. (English) Zbl 1432.05018
On central Fubini polynomials associated with central factorial numbers of the second kind. (English) Zbl 1439.11082
Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and \(p\)-adic \(q\)-integrals. (English) Zbl 1438.11056
Generating functions for unification of the multidimensional Bernstein polynomials and their applications. (English) Zbl 1433.11024
The \(p\)-adic analysis of Stirling numbers via higher order Bernoulli numbers. (English) Zbl 1441.11039
On the extension of degenerate Stirling polynomials of the second kind and degenerate Bell polynomials. (English) Zbl 1423.11059
Identities for Korobov-type polynomials arising from functional equations and \(p\)-adic integrals. (English) Zbl 1412.11048
Some identities involving \(q\)-poly-tangent numbers and polynomials and distribution of their zeros. (English) Zbl 1422.11054
New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals. (English) Zbl 1422.11044
On the second kind degenerated Bernoulli polynomials and numbers and their applications. (English) Zbl 1381.11018
A note on degenerate Bell numbers and polynomials associated with \(p\)-adic integral on \({\mathbb Z}_p\). (English) Zbl 1379.11019
Some identities for degenerate Euler numbers and polynomials arising from degenerate Bell polynomials. (English) Zbl 1353.11030
New identities and congruences for Euler numbers. (English) Zbl 1369.11086
Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 139-158 (2016).
A symmetry identity on the \(g\)-Genocchi polynomials of higher-order under third dihedral group \(D_3\). (English) Zbl 1321.11021
Exact periodic wave solution of extended \((2+1)\)-dimensional shallow water wave equation with generalized \(D_{\bar{p}}\)-operators. (English) Zbl 1311.35215
On the unification of two families of multiple twisted type polynomials by using \(p\)-adic \(q\)-integral at \(q=-1\). (English) Zbl 1293.05005
Extended \(p\)-adic \(q\)-invariant integrals on \(\mathbb{Z}_p\) associated with applications of umbral calculus. (English) Zbl 1380.05003
Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications. (English) Zbl 1293.11044
A new approach to connect algebra with analysis: relationships and applications between presentations and generating functions. (English) Zbl 1319.11009
A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials. (English) Zbl 1261.05003
Reviewer: Ping Sun (Shenyang)
Some formulae for the \(q\)-Bernstein polynomials and \(q\)-deformed binomial distributions. (English) Zbl 1256.11010
A note on the modified \(q\)-Bernstein polynomials for functions of several variables and their reflections on \(q\)-Volkenborn integration. (English) Zbl 1229.11150
\(q\)-extensions of some relationships between the Bernoulli and Euler polynomials. (English) Zbl 1238.05025
A new approach to \(q\)-Bernoulli numbers and \(q\)-Bernoulli polynomials related to \(q\)-Bernstein polynomials. (English) Zbl 1229.11034
Some identities on the \(q\)-Genocchi polynomials of higher-order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\). (English) Zbl 1208.11031
A study on the \(p\)-adic integral representation on \(\mathbb Z_p\) associated with Bernstein and Bernoulli polynomials. (English) Zbl 1221.11058
Reviewer: Florin Nicolae (Berlin)
Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\). (English) Zbl 1192.05011
Reviewer: Ping Sun (Shenyang)
About the period of Bell numbers modulo a prime. (English) Zbl 1195.11034
Reviewer: Florian Luca (Morelia)
Applications of an explicit formula for the generalized Euler numbers. (English) Zbl 1145.11020
Reviewer: Zhefeng Xu (Xi’an)
A complete asymptotic expansion of power means. (English) Zbl 1104.41015
Reviewer: János Aczél (Waterloo/Ontario)
Fleck quotients and Bernoulli numbers. arXiv:math/0608328
Preprint, arXiv:math/0608328 [math.NT] (2006).
Congruences for degenerate number sequences. (English) Zbl 1042.11015
Reviewer: Florian Luca (Morelia)
On analytical conjugacy of Touchard polynomials and the polynomials quasi-orthogonal to them. (English. Russian original) Zbl 1049.05002
Discrete Math. Appl. 12, No. 1, 97-103 (2002); translation from Diskretn. Mat. 14, No. 1, 151-157 (2002).
On partition polynomials. (English. Russian original) Zbl 1050.05010
Discrete Math. Appl. 11, No. 2, 173-188 (2001); translation from Diskretn. Mat. 13, No. 2, 144-158 (2001).
Arithmetic properties of the Nörlund polynomial \(B_n^{(x)}\). (English) Zbl 0940.11011
Reviewer: Tauno Metsänkylä (Turku)
Periodicities of partition functions and Stirling numbers modulo \(p\). (English) Zbl 0607.10010
Reviewer: M. Cheema
A \(q\)-analog of the exponential formula. (English) Zbl 0485.05004
Reviewer: M. Cheema
Analyse \(p\)-adique et congruences. (French) Zbl 0352.12016
Sémin. Théor. Nombres 1975-1976, Univ. Bordeaux, Exp. No. 21, 9 p. (1976).
Reviewer: J. J. Payan
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