Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications

DOI10.1080/23311835.2016.1269393zbMath1426.11015arXiv1609.09133OpenAlexW3099136669MaRDI QIDQ4966859

Yilmaz Simsek

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09133

zbMATH Keywords

generating functionsStirling numbersDirichlet characterCauchy numbersorthogonal polynomials and special functions\(p\)-adic \(q\)-Volkenborn integralsgeneralized Apostol-Bernoulli numbers and polynomialsgeneralized Apostol-Daehee numbers and polynomialsgeneralized Apostol-Euler numbers and polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (17)

Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions ⋮ New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals ⋮ Unnamed Item ⋮ Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials ⋮ Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions ⋮ Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters ⋮ Identities for Korobov-type polynomials arising from functional equations and p-adic integrals ⋮ Analysis of Apostol-Type Numbers and Polynomials with Their Approximations and Asymptotic Behavior ⋮ A note on modified degenerate \(q\)-Daehee polynomials and numbers ⋮ Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series ⋮ Derivation of computational formulas for Changhee polynomials and their functional and differential equations ⋮ Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions ⋮ Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by \(p\)-adic integration and applications to probability distribution functions ⋮ On generating functions for Boole type polynomials and numbers of higher order and their applications ⋮ Some identities for Carlitz type \(q\)-Daehee polynomials ⋮ Some new identities and formulas for higher-order combinatorial-type numbers and polynomials ⋮ Radon-Nikodym theorem with respect to \((\rho,q)\)-measure on \(\mathbb Z_p\)

Cites Work

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