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Analytic continuation of q-Euler numbers and polynomials

✍ Scribed by Taekyun Kim

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
226 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this work we study the q-Euler numbers and polynomials analytically continued to E q (s). A new formula for Euler's q-zeta function ΞΆ E,q (s) in terms of nested series of ΞΆ E,q (n) is derived. Finally we introduce the new concept of dynamics of the zeros of analytically continued q-Euler polynomials.

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