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

T. Kim | Zendy; J. Choi | Zendy; Y. H. Kim | Zendy

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

Author(s) -

T. Kim,

J. Choi,

Y. H. Kim

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/361484

Subject(s) - mathematics , bernoulli number , bernoulli polynomials , bernoulli's principle , representation (politics) , combinatorics , difference polynomials , orthogonal polynomials , discrete mathematics , pure mathematics , politics , political science , law , engineering , aerospace engineering

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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