Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series

Title: Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series
Creator: Bailey, D. H.; Borwein, J. M.
Relation: ARC.DP140101417
Relation: Applied Mathematics and Computation Vol. 268, p. 462-477
Publisher Link: http://dx.doi.org/10.1016/j.amc.2015.06.048
Publisher: Elsevier
Resource Type: journal article
Date: 2015
Description: This paper extends tools developed by Crandall (2012) [16] to provide robust, high-precision methods for computation of the incomplete Gamma function and the Lerch transcendent. We then apply these to the corresponding computation of the Hurwitz zeta function and so of Dirichlet L-series and character polylogarithms.
Subject: incomplete gamma function; Lerch transcendent function; Hurwitz zeta function; Dirichlet L-series; polylogarithms
Identifier: http://hdl.handle.net/1959.13/1329486
Identifier: uon:26172
Identifier: ISSN:0096-3003
Language: eng
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