Date of Original Version

1-1998

Type

Article

Abstract or Description

Liouville's fractional integration is used to define polygamma functions ψ(n)(Z) for negative integer n. It is shown that such ψ(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.

DOI

10.1016/S0377-0427(98)00192-7

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