Analytic continuation of q-Euler numbers
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Taekyun Kim
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Article
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2008
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Elsevier Science
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English
β 226 KB
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 polynomi