A New Changhee q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals

2006/11/26 by Taekyun Kim, Kim, Taekyun, SAeog-Hoon Rim +1
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.math/0611791

8 pages

arxiv created 2006/11/26 · arxiv updated 2009/12/01

Abstract

Using non-archimedean q-integrals on Zp defined in [15, 16], we define a new Changhee q-Euler polynomials and numbers which are different from those of Kim [7] and Carlitz [2]. We define generating functions of multiple q-Euler numbers and polynomials. Furthermore we construct multivariate Hurwitz type zeta function which interpolates the multivariate q-Euler numbers or polynomials at negative integers.

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