✦ LIBER ✦

Polygamma functions of negative order

✍ Scribed by Victor S. Adamchik

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 343 KB
Volume: 100
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00192-7

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✦ Synopsis

Liouville's fractional integration is used to define polygamma functions ~,(")(z) for negative integer n. It is shown that such ~k(n)(z) can be represented in a closed form by means of the first derivatives of the Hurwitz Zeta function. Relations to the Barnes G-function and generalized Glaisher's constants are also discussed. (~) 1998 Elsevier Science B.V. All rights reserved.

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