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

Preprint

26 November 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0611791

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

POLYNOMIALS AND NUMBERS
POLYNOMIALS ASSOCIATED
CHANGHEE Q EULER
EULER NUMBERS
NEW CHANGHEE
INTERPOLATES
ADIC

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Version 1, 2006-11-26, ArXiv

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