Multiple Gamma Function and Its Application to Computation of Series
Classical Analysis and ODEs
2016-09-07 v1 Mathematical Physics
math.MP
Abstract
The multiple gamma function , defined by a recurrence-functional equation as a generalization of the Euler gamma function, was originally introduced by Kinkelin, Glaisher, and Barnes around 1900. Today, due to the pioneer work of Conrey, Katz and Sarnak, interest in the multiple gamma function has been revived. This paper discusses some theoretical aspects of the function and their applications to summation of series and infinite products.
Cite
@article{arxiv.math/0308074,
title = {Multiple Gamma Function and Its Application to Computation of Series},
author = {V. S. Adamchik},
journal= {arXiv preprint arXiv:math/0308074},
year = {2016}
}
Comments
20 pages, Latex, uses kluwer.cls, will appear in The Ramanujan Journal