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arXiv · 0807.2682

q-Euler Numbers and Polynomials Associated with Basic Zeta Functions

Taekyun Kim
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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.

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Taekyun Kim. 2008-07-17. q-Euler Numbers and Polynomials Associated with Basic Zeta Functions. https://arxiv.org/abs/0807.2682

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