Contributions to the Theory of the Barnes Function

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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.
18 pages, AMS-LATEX

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Classical Analysis and ODEs, Mathematical Physics, 33E20, 11M35

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http://salesiana.dossiersoluciones.com/handle/123456789/68283

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308086
 http://arxiv.org/abs/math/0308086

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arXiv