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

作者：Simsek Yilmaz; Srivastava H M^*

来源：Applied Mathematics and Computation, 2010, 216(10): 2976-2987.

DOI：10.1016/j.amc.2010.04.010

• 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

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.

• 出版日期2010-7-15