On twisted q-Hurwitz zeta function and q-two-variable L-function

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摘要

In this study, by applying the Mellin transformation to the generating function of the (h, q)-Bernoulli polynomials, we construct integral representation of the twisted (h, q)-Hurwitz function and twisted (h, q)-two-variable L-function. These functions are interpolate the twisted (h, q)-Bernoulli polynomials and generalized twisted (h, q)-Bernoulli numbers at non-positive integers, respectively. We also give the relation between twisted (h, q)-Hurwitz zeta function and twisted (h, q)-two-variable L-function.

论文关键词: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

论文评审过程:Available online 17 October 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.08.146