Some results on the Apostol-Bernoulli and Apostol-Euler polynomials

DOI10.1016/j.camwa.2007.06.021zbMath1151.11012OpenAlexW1985053528MaRDI QIDQ931770

Cangzhi Jia, Weiping Wang, Tian-ming Wang

Publication date: 26 June 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.06.021

zbMATH Keywords

combinatorial identitiesApostol-Bernoulli polynomialsApostol-Euler polynomials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

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Cites Work

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• Sums of products of Bernoulli numbers
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
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• On the Lerch zeta function
• Some formulas for the Bernoulli and Euler polynomials at rational arguments