- 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
- Reviewed
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