Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials

DOI10.1134/S106192081301010XzbMath1292.11043OpenAlexW1984927686MaRDI QIDQ384366

Mehmet Ali Özarslan, Hari M. Srivastava, Cem Kaanoğlu

Publication date: 27 November 2013

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106192081301010x

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (19)

Some explicit identities on Changhee-Genocchi polynomials and numbers ⋮ Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials ⋮ Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials ⋮ Integral modification of beta-Apostol-Genocchi operators ⋮ A new class of Laguerre-based generalized Apostol polynomials ⋮ Nonlinear differential equations arising from Boole numbers and their applications ⋮ Some results for Apostol-type polynomials associated with umbral algebra ⋮ Hecke operators type and generalized Apostol-Bernoulli polynomials ⋮ On certain generalized \(q\)-Appell polynomial expansions ⋮ Unnamed Item ⋮ Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications ⋮ Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series ⋮ Approximation by a new sequence of operators involving Apostol-Genocchi polynomials ⋮ Identities and relations involving the modified degenerate Hermite-based Apostol-Bernoulli and Apostol-Euler polynomials ⋮ A new family of combinatorial numbers and polynomials associated with peters numbers and polynomials ⋮ Product of two hypergeometric functions with power arguments ⋮ A parametric kind of the Fubini-type polynomials ⋮ Identities related to special polynomials and combinatorial numbers ⋮ Durrmeyer variant of Apostol-Genocchi-Baskakov operators

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