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

نویسندگان

  • David H. Bailey
  • Jonathan M. Borwein
چکیده

This paper extends tools developed by Richard Crandall in [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.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 268  شماره 

صفحات  -

تاریخ انتشار 2015