Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory
type: Item
instance of: scholarly article
title: Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory
zbMATH Open document ID: 0767.33015
DOI: 10.1016/0096-3003(93)90100-S
author: James Evans
author: Valerie D. Evans
author: John H. Hubbell
published in: Applied Mathematics and Computation
publication date: 1993-05-16T00:00:00Z
review text: The Epstein-Hubbel integrals, which are of the generalized elliptic type, are numerically calculated. Its achievements owes to the complex variable residue technique in summing infinite series. Some trivial calculations are given.
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 166270
zbMATH Keywords: elliptic type integral
zbMATH Keywords: infinite series expansion
zbMATH Keywords: residue theory
zbMATH Keywords: Epstein-Hubbel integrals
reviewed by: Yasuhiro Kobayashi
MaRDI profile type: Publication
cites work: Applications of complex variable residue theory to the evaluation of irrational definite integrals. I
cites work: Applications of complex variable residue theory to the evaluation solution of irrational definite integrals. II
cites work: Evaluation of four irrational definite sine integrals using residue theory
cites work: Evaluation of four irrational cosine definite integrals using residue theory
cites work: Evaluation of a generalized elliptic-type integral
cites work: A note on generalized elliptic integral
description: scientific article; zbMATH DE number 166270