A note on the Epstein-Hubbell generalized elliptic-type integral
type: Item
instance of: scholarly article
title: A note on the Epstein-Hubbell generalized elliptic-type integral
zbMATH Open document ID: 0818.33014
DOI: 10.1016/0096-3003(94)00133-O
author: Rekha Srivastava
published in: Applied Mathematics and Computation
publication date: 1995-07-23T00:00:00Z
review text: The main object of this note is to present a remarkably simple derivation of the explicit representation of the Epstein-Hubbell generalized elliptic-type integral as a Gauss hypergeometric function of argument \(k^ 4\). The method applied here is based upon rather elementary formulas, and (unlike the earlier derivations) it does not make use of complex integration with or without residues. It is also pointed out how this method can be applied mutatis mutandis in substantially more general cases.
reviewed by: Rekha Srivastava
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 33C75
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 761790
zbMATH Keywords: Epstein-Hubbell generalized elliptic-type integral
MaRDI profile type: Publication
cites work: Evaluation of a generalized elliptic-type integral
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cites work: Q3715436
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cites work: Q5820721
full work available at URL: 0096-3003(94)00133-o
OpenAlex ID: W2044136942
description: scientific article; zbMATH DE number 761790