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arXiv:0801.0480 [math.NT]AbstractReferencesReviewsResources

Analytic Continuation of q-Euler numbers and polynomials

T. Kim

Published 2008-01-03Version 1

In this paper we study that the $q$-Euler numbers and polynomials are analytically continued to $E_q(s)$. A new formula for the Euler's $q$-Zeta function $\zeta_{E,q}(s)$ in terms of nested series of $\zeta_{E,q}(n)$ is derived. Finally we introduce the new concept of the dynamics of analytically continued $q$-Euler numbers and polynomials.

Comments: 5 pages
Categories: math.NT
Subjects: 11B68, 11S80
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