Integral Representations ofq-analogues of the Hurwitz Zeta Function
β Scribed by Masato Wakayama; Yoshinori Yamasaki
- Publisher
- Springer Vienna
- Year
- 2006
- Tongue
- English
- Weight
- 136 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A variety of infinite series representations for the Hurwitz zeta function are obtained. Particular cases recover known results, while others are new. Specialization of the series representations apply to the Riemann zeta function, leading to additional results. The method is briefly extended to the
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The functional equation for the Hurwitz Zeta function ((s,a) is used to obtain formulas for derivatives of ((s,a) at negative odd s and rational a. For several of these rational arguments, closed-form expressions are given in terms of simpler transcendental functions, like the logarithm, the polygam