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

D.H. Bailey and J.M. Borwein

Applied Mathematics and Computation, 2015, vol. 268, issue C, 462-477

Abstract: 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.

Keywords: Incomplete gamma function; Lerch transcendent function; Hurwitz zeta function; Dirichlet L-series; Polylogarithms; Character polylogarithms (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:462-477

DOI: 10.1016/j.amc.2015.06.048

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