Construction of the Digamma Function by Derivative Definition
Classical Analysis and ODEs
2008-04-25 v4 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0804.1081,
title = {Construction of the Digamma Function by Derivative Definition},
author = {Michael Morales},
journal= {arXiv preprint arXiv:0804.1081},
year = {2008}
}
Comments
4 pages. Equation 13 and 14 added. Typo and edition minor corrections