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The q-Stirling numbers, continued fractions and the q-Charlier and q-Laguerre polynomials

✍ Scribed by Jiang Zeng


Book ID
107989030
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
460 KB
Volume
57
Category
Article
ISSN
0377-0427

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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