Crandall's computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series

DOI10.1016/j.amc.2015.06.048zbMath1410.33013OpenAlexW2103303424MaRDI QIDQ668138

Jonathan M. Borwein, David H. Bailey

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.048

zbMATH Keywords

incomplete gamma functionHurwitz zeta functionpolylogarithmsDirichlet \(L\)-seriesLerch transcendent functioncharacter polylogarithms

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Approximation to limiting values (summation of series, etc.) (40A25) Hurwitz and Lerch zeta functions (11M35) Higher logarithm functions (33B30)

Related Items (4)

Unnamed Item ⋮ A fast and simple algorithm for the computation of the Lerch transcendent ⋮ Analytic Continuations of Character and Alternating Tornheim Zeta Functions ⋮ Computation and theory of Mordell-Tornheim-Witten sums. II.

Uses Software

• DLMF

Cites Work

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