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Some Identities on the q‐Bernoulli Numbers and Polynomials with Weight 0

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  • T. Kim
  • J. Choi
  • Y. H. Kim

Abstract

Recently, Kim (2011) has introduced the q‐Bernoulli numbers with weight α. In this paper, we consider the q‐Bernoulli numbers and polynomials with weight α = 0 and give p‐adic q‐integral representation of Bernstein polynomials associated with q‐Bernoulli numbers and polynomials with weight 0. From these integral representation on ℤp, we derive some interesting identities on the q‐Bernoulli numbers and polynomials with weight 0.

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Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:361484
DOI: 10.1155/2011/361484
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