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Derivatives of the Hurwitz Zeta function for rational arguments

โœ Scribed by Jeff Miller; Victor S. Adamchik

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
256 KB
Volume
100
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

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 polygamma fimction, and the Riemann Zeta function.

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