Crandall’s computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series
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摘要
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.
论文关键词：Incomplete gamma function,Lerch transcendent function,Hurwitz zeta function,Dirichlet L-series,Polylogarithms,Character polylogarithms
论文评审过程：Received 16 June 2014, Revised 31 May 2015, Accepted 10 June 2015, Available online 14 July 2015, Version of Record 14 July 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.06.048
