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A new approximate functional equation for Hurwitz zeta function for rational parameter

✍ Scribed by Rane, Vivek V.


Publisher
Springer-Verlag
Year
1997
Tongue
English
Weight
262 KB
Volume
107
Category
Article
ISSN
0370-0089

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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