Identities of symmetry for generalized Bernoulli polynomials

2010/03/17 by Dae San kim, kim, Dae San
Mathematics · #05A19 #11B68 #11S80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:05A19 #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1003.3298

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arxiv created 2010/03/17 · openalex publication_date 2010/03/17 · arxiv updated 2010/03/18 · openalex created_date 2017/08/31 · openalex updated_date 2026/07/28

Abstract

In this paper, we derive eight basic identities of symmetry in three variables related to generalized Bernoulli polynomials and generalized power sums. All of these are new, since there have been results only about identities of symmetry in two variables. The derivations of identities are based on the p-adic integral expression of the generating function for the generalized Bernoulli polynomials and the quotient of p-adic integrals that can be expressed as the exponential generating function for the generalized power sums.

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