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Multivariate p‐Adic Fermionic q‐Integral on ℤp and Related Multiple Zeta‐Type Functions

Min-Soo Kim, Taekyun Kim and Jin-Woo Son

Abstract and Applied Analysis, 2008, vol. 2008, issue 1

Abstract: In 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz′s type q‐Bernoulli polynomials and obtained the distribution relation for them. They also raised the following problem: “are there analytic multiple twisted Carlitz′s type q‐zeta functions which interpolate multiple twisted Carlitz′s type q‐Euler (Bernoulli) polynomials?” The aim of this paper is to give a partial answer to this problem. Furthermore we derive some interesting identities related to twisted q‐extension of Euler polynomials and multiple twisted Carlitz′s type q‐Euler polynomials.

Date: 2008
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https://doi.org/10.1155/2008/304539

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