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A family of p-adic twisted interpolation functions associated with the modified Bernoulli numbers |
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| Authors: | Yilmaz Simsek |
| Affiliation: | a Department of Mathematics, Faculty of Art and Science, University of Akdeniz, TR-07058 Antalya, Turkey b Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada |
| Abstract: | 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. |
| Keywords: | 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 |
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