Construction of the Digamma Function by Derivative Definition

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The Digamma and Polygamma functions are important tools in mathematical physics, not only for its many properties but also for the applications in statistical mechanics and stellar evolution. In many textbooks is found its develop almost by the same procedure. In this paper expressions for the Digamma and Polygamma functions, in terms of hypergeometric functions, are found through the derivative definition.
4 pages. Equation 13 and 14 added. Typo and edition minor corrections

Keywords

Classical Analysis and ODEs, Mathematical Physics, 33B15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/159662

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.1081
 http://arxiv.org/abs/0804.1081

Collections

arXiv