Crandall's computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series
type: Item
instance of: scholarly article
title: Crandall's computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series
zbMATH Open document ID: 1410.33013
author: Jonathan M. Borwein
author: D. H. Bailey
published in: Applied Mathematics and Computation
publication date: 2019-03-18T00:00:00Z
Mathematics Subject Classification ID: 33B30
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 40A25
Mathematics Subject Classification ID: 11M35
zbMATH DE Number: 7037692
zbMATH Keywords: incomplete gamma function
zbMATH Keywords: Lerch transcendent function
zbMATH Keywords: Hurwitz zeta function
zbMATH Keywords: Dirichlet \(L\)-series
zbMATH Keywords: polylogarithms
zbMATH Keywords: character polylogarithms
MaRDI profile type: Publication
full work available at URL: j.amc.2015.06.048
OpenAlex ID: W2103303424
cites work: Dirichlet L-Functions and Primitive Characters
cites work: Formulas for Higher Derivatives of the Riemann Zeta Function
cites work: On Eulerian log-gamma integrals and Tornheim-Witten zeta functions
cites work: High-precision computation: mathematical physics and dynamics
cites work: Computation and structure of character polylogarithms with applications to character Mordell–Tornheim–Witten sums
cites work: Computation and theory of extended Mordell-Tornheim-Witten sums
cites work: Parallel integer relation detection: techniques and applications
cites work: Effective Laguerre Asymptotics
cites work: Q3751634
cites work: Computational strategies for the Riemann zeta function
cites work: Lattice Sums Then and Now
cites work: Special values of generalized log-sine integrals
cites work: The evaluation of character Euler double sums
cites work: Irregular Primes to One Million
cites work: Q5820721
cites work: Q4527133
cites work: Q4072022
cites work: Rigorous high-precision computation of the Hurwitz zeta function and its derivatives
cites work: The Lerch zeta function. I: Zeta integrals
cites work: The Lerch zeta function. II: Analytic continuation
cites work: Q4706965
cites work: Q3916824
DOI: 10.1016/J.AMC.2015.06.048
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7037692