Generalized elliptic-type integrals and their representations
type: Item
instance of: scholarly article
title: Generalized elliptic-type integrals and their representations
zbMATH Open document ID: 1102.33016
author: N. E. Zubov
published in: Applied Mathematics and Computation
publication date: 2006-12-07T00:00:00Z
review text: In a long series of papers, J. H. Hubbell and his coauthors have studied some elliptic-type integrals occurring, for instance, in radiation field problems and in nuclear shielding (see e.g. [\textit{R. K. Saxena, S. L. Kalla, J. H. Hubbell}, Math. Balk., New Ser. 14, No. 3-4, 387-396 (2000; Zbl 1082.33504)], [\textit{P. G. Todorov, J. H. Hubbell}, Appl. Math. Comput. 61, No. 2-3, 157-161 (1994; Zbl 0797.33010)]). The author continues these studies and provides numerous formulae for this type of integrals (considered previously by \textit{S. L. Kalla} and \textit{Vu Kim Tuan}, [Comput. Math. Appl. 32, No. 4, 49-55 (1996; Zbl 0891.33010)]). Some of the formulae involve hypergeometric or Lauricella functions.
reviewed by: M. Vuorinen
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 33C65
zbMATH DE Number: 5078414
zbMATH Keywords: generalized elliptic integrals
MaRDI profile type: Publication
full work available at URL: j.amc.2006.02.025
OpenAlex ID: W2087431678
cites work: Q3331506
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DOI: 10.1016/J.AMC.2006.02.025
description: scientific article; zbMATH DE number 5078414