Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:324

Article

Simsek, Yilmaz

关键词: q-Bernoulli numbers and polynomials;    twisted q-Bernoulli numbers and polynomials;    q-zeta function;    L-function;    twisted q-zeta function;    twisted q-L-functions;    q-Volkenborn integral;   

DOI  :  10.1016/j.jmaa.2005.12.057

来源: Elsevier

【 摘 要 】

In this paper, by using q-Volkenborn integral, we construct new generating functions of the new twisted (h, q)-Bernoulli polynomials and numbers. By applying the Mellin transformation to these generating functions, we obtain integral representations of the new twisted (h, q)-zeta function and twisted (h, q)-L-function, which interpolate the twisted (h, q)-Bernoulli numbers and generalized twisted (h, q)-Bemoulli numbers at non-positive integers, respectively. Furthermore, relation between twisted (h, q)-zeta function and twisted (h, q)-L-function are proved. Some new relations, related to twisted (h, q)-Bemoulli polynomials and numbers, are given. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free