Contributions to the Theory of the Barnes Function
Classical Analysis and ODEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
This paper presents a family of new integral representations and asymptotic series of the multiple gamma function. The numerical schemes for high-precision computation of the Barnes gamma function and Glaisher's constant are also discussed.
Cite
@article{arxiv.math/0308086,
title = {Contributions to the Theory of the Barnes Function},
author = {V. S. Adamchik},
journal= {arXiv preprint arXiv:math/0308086},
year = {2007}
}
Comments
18 pages, AMS-LATEX