Identities of symmetry for higher-order q-Bernoulli polynomials

Preprint

13 January 2014

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1401.2763

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

IDENTITIES OF SYMMETRY
BERNOULLI POLYNOMIALS
VOLKENBORN INTEGRALS
POLYNOMIALS RECENTLY
ORDER CARLITZ'S

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