English

Identities of symmetry for higher-order q-Bernoulli polynomials

Number Theory 2014-01-14 v1

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. .

Keywords

Cite

@article{arxiv.1401.2763,
  title  = {Identities of symmetry for higher-order q-Bernoulli polynomials},
  author = {Dae San Kim and Taekyun Kim},
  journal= {arXiv preprint arXiv:1401.2763},
  year   = {2014}
}

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