A New Changhee q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals
Number Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0611791,
title = {A New Changhee q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals},
author = {Taekyun Kim and SAeog-Hoon Rim},
journal= {arXiv preprint arXiv:math/0611791},
year = {2007}
}
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8 pages