Numerical evaluation of the dilogarithm of complex argument
type: Item
instance of: scholarly article
title: Numerical evaluation of the dilogarithm of complex argument
zbMATH Open document ID: 0830.65013
DOI: 10.1007/BF00692071
author: Carlos Osácar
author: Manuel Palacios
author: Jesús F. Palacián
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1996-02-04T00:00:00Z
review text: An algorithm for evaluating the dilogarithmic function of a complex argument is proposed. In this proposal, three approximations are provided according to the different regions of the complex plane. For the arguments \(|z|\leq 1/2\), the Gaussian quadrature is used with a relative error of \(1.8\times 10^{-18}\) at most.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 798825
zbMATH Keywords: convergence acceleration
zbMATH Keywords: algorithm
zbMATH Keywords: dilogarithmic function
zbMATH Keywords: Gaussian quadrature
Wikidata QID: Q56451531
reviewed by: Yasuhiro Kobayashi
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: Q5558293
cites work: Q4275409
cites work: Q3253375
cites work: Decomposition of functions for elliptic orbits
cites work: Q3823708
full work available at URL: https://doi.org/10.1007/bf00692071
OpenAlex ID: W2014590534
description: scientific article; zbMATH DE number 798825