Contributions to the Theory of the Barnes Function

Details Contributions to the Theory of the Barnes Function Contributions to the Theory of the Barnes Function

2003-08-08

arxiv.org/abs/math/0308086v1

Mathematics

Classical Analysis and ODEs

18 pages, AMS-LATEX

Scientific paper

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.

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