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Analytic continuation of expansions in Jacobi polynomials

✍ Scribed by V. A. Yatsun


Book ID
112479660
Publisher
Springer
Year
1970
Tongue
English
Weight
641 KB
Volume
21
Category
Article
ISSN
0041-5995

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Analytic continuation of q-Euler numbers
✍ Taekyun Kim πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 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