A family of p-adic twisted interpolation functions associated with the modified Bernoulli numbers

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摘要

The main purpose of this paper is to construct a family of modified p-adic twisted functions, which interpolate the modified twisted q-Bernoulli polynomials and the generalized twisted q-Bernoulli numbers at negative integers. We also give some applications and examples related to these functions and numbers.

论文关键词:q-Bernoulli and twisted q-Bernoulli numbers,q-Bernoulli and twisted q-Bernoulli polynomials,q-Zeta function,Lerch zeta function,Hurwitz-Lerch and Lipschitz-Lerch zeta functions,L-Function and p-adic L-function,Polylogarithm function,p-Adic distribuLtions

论文评审过程:Available online 18 April 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.04.010