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arxiv: 1401.2763 · v1 · pith:V7F6GR6Vnew · submitted 2014-01-13 · 🧮 math.NT

Identities of symmetry for higher-order q-Bernoulli polynomials

classification 🧮 math.NT
keywords polynomialsq-bernoullicarlitzhigher-orderidentitiesq-volkenbornquestionsymmetry
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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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