q-Analogue of Riemann's ζ-function and q-Euler numbers
✍ Scribed by Junya Satoh
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 573 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
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 ζ E,q (s) in terms of nested series of ζ E,q (n) is derived. Finally we introduce the new concept of dynamics of the zeros of analytically continued q-Euler polynomi
An addition and product formula for the Hahn Exton \(q\)-Bessel function, previously obtained by use of a quantum group theoretic interpretation, are proved analytically. A (formal) limit transition to the Graf addition formula and corresponding product formula for the Bessel function is given. 1995