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On the generalized higher-order q-Bernoulli numbers and polynomials

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arxiv 1008.1435 v1 pith:TMBBP7YD submitted 2010-08-09 math.NT

On the generalized higher-order q-Bernoulli numbers and polynomials

classification math.NT
keywords p-adicnumberspolynomialsq-bernoulliq-integralssomecarlitzequation
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In this paper we give some interesting equation of p-adic q-integrals on Zp. From those p-adic q-integrals, we present a systemic study of some families of extended Carlitz q-Bernoulli numbers and polynomials in p-adic number field.

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