Construction of the Digamma Function by Derivative Definition

Details Construction of the Digamma Function by Derivative Definition Construction of the Digamma Function by Derivative Definition

2008-04-07

arxiv.org/abs/0804.1081v4

Mathematics

Classical Analysis and ODEs

4 pages. Equation 13 and 14 added. Typo and edition minor corrections

Scientific paper

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.

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