Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis

DOI10.22436/JNSA.009.05.66zbMath1338.11025arXiv1311.4148OpenAlexW2963459448MaRDI QIDQ2812337

Yuan He, Mehmet Acikgoz, Serkan Araci, Armen G. Bagdasaryan

Publication date: 16 June 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4148

zbMATH Keywords

identitiesgenerating functionHermite polynomialsApostol-Bernoulli polynomials of higher orderApostol-Euler polynomials of higher orderBernoulli polynomials of higher orderEuler polynomials of higher order

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 (3)

On basic Horn hypergeometric functions \(\mathrm{H}_3\) and \(\mathrm{H}_4\) ⋮ Probabilistic Bernoulli and Euler polynomials ⋮ Identities and relations involving the modified degenerate Hermite-based Apostol-Bernoulli and Apostol-Euler polynomials

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