q-Euler Numbers and Polynomials Associated with Basic Zeta Functions

Preprint

17 July 2008

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0807.2682

Abstract

In this paper we give the q-extension of Euler numbers which can be viewed as interpolating of the q-analogue of Euler zeta function ay negative integers, in the same way that Riemann zeta function interpolates Bernoulli numbers at negative integers. Finally we woll treat some identities of the q-extension of the euler numbers by using fermionic p-adic q-integration on Z_p.

Keywords

POLYNOMIALS ASSOCIATED
FUNCTION INTERPOLATES
NEGATIVE INTEGERS
EULER NUMBERS
ZETA FUNCTION
INTERPOLATES
AY NEGATIVE
BASIC ZETA

All Related Versions

Version 1, 2008-07-17, ArXiv
Version 1, 2009-12-24, ArXiv (Unconfirmed version)

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