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Some identities of q-Bernoulli polynomials under symmetry group S3

Number Theory 2015-03-18 v1

Abstract

In this paper, we give some new identities of Carlitz q-Bernoulli polynomials under symmetry group S 3 . The derivatives of identities are based on the q-Volkenborn integral expression of the generating function for the Carlitz q-Bernoulli polynomials and the q-Volkenborn integral equations that can be expressed as the exponential generating functions for the q-power sums.

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Cite

@article{arxiv.1503.04893,
  title  = {Some identities of q-Bernoulli polynomials under symmetry group S3},
  author = {Dmitry V. Dolgy and Dae San Kim and taekyun Kim},
  journal= {arXiv preprint arXiv:1503.04893},
  year   = {2015}
}

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