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

Author

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  • Bailey, D.H.
  • Borwein, J.M.

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.

Suggested Citation

  • Bailey, D.H. & Borwein, J.M., 2015. "Crandall’s computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 462-477.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:462-477
    DOI: 10.1016/j.amc.2015.06.048
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    Cited by:

    1. Robert Reynolds & Allan Stauffer, 2021. "Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function," Mathematics, MDPI, vol. 9(16), pages 1-7, August.

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