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Jackson’s integral of the Hurwitz zeta function

✍ Scribed by Nobushige Kurokawa; Katsuhisa Mimachi; Masato Wakayama

Publisher
Springer Milan
Year
2007
Tongue
Italian
Weight
198 KB
Volume
56
Category
Article
ISSN
0009-725X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Probabilistic Interpretation of the Hu
A Probabilistic Interpretation of the Hurwitz Zeta Function
✍ R.A. Lippert 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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

On some series representations of the Hu
On some series representations of the Hurwitz zeta function
✍ Mark W. Coffey 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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

Derivatives of the Hurwitz Zeta function
Derivatives of the Hurwitz Zeta function for rational arguments
✍ Jeff Miller; Victor S. Adamchik 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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