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

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

2007-07-25

arxiv.org/abs/0707.3663v1

Mathematics

Classical Analysis and ODEs

10 pages, 1 figure

Scientific paper

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.

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