The Laplace transform of the digamma function: an integral due to Glasser, Manna and Oloa

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We provide an analytic expression for the Laplace transform of the digamma fuction. This complements work of L. Glasser, D. Manna and O. Oloa on this question. The Laplace transform is continuous in the Laplace-variable a. The derivative admits a jump at a= ln 2.
10 pages, 1 figure

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Classical Analysis and ODEs, 33B15

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http://salesiana.dossiersoluciones.com/handle/123456789/134987

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3663
 http://arxiv.org/abs/0707.3663

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arXiv