Identities of symmetry for higher-order q-Bernoulli polynomials

2014/01/13 by Dae San Kim, Kim, Dae San, Taekyun Kim +1
Mathematics · #11B68 #11S80 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.1401.2763

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arxiv created 2014/01/13 · arxiv updated 2014/01/14

Abstract

Recently, the higher-order Carlitz's q-Bernoulli polynomials are represented as q-Volkenborn integral on Zp by Kim. A question was asked in [13] as to finding the extended formulaeof symmetries for Bernoulli polynomials which are related to Carlitz q-Bernoulli polynomials. In this paper, we give some new identities of symmetry for the higher-order Carlitz q-Bernoulli polynomials whch are derived from multivariate q-Volkenborn integrals on Zp. We note that they are a partial answer to that question. .

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