𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Integral Representations ofq-analogues of the Hurwitz Zeta Function

✍ 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.


πŸ“œ SIMILAR VOLUMES


On some series representations of the Hu
✍ Mark W. Coffey πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 153 KB

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

A Probabilistic Interpretation of the Hu
✍ R.A. Lippert πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 154 KB

Presented in a continuous extension of a measure used by Sol Golomb to define a probability on the sample space of natural numbers. The extension is a probability measure which holds several characteristic in common with Golomb's measure but on the set \((1, \infty)\). I have proven a theorem which

Derivatives of the Hurwitz Zeta function
✍ Jeff Miller; Victor S. Adamchik πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 256 KB

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