Development of the Hubbell rectangular source integral
type: Item
instance of: scholarly article
title: Development of the Hubbell rectangular source integral
zbMATH Open document ID: 1012.33015
DOI: 10.1023/A:1020525315841
author: A. H. Al-Shammery
author: H. G. Khajah
author: S. L. Kalla
published in: Acta Applicandae Mathematicae
publication date: 2003-03-16T00:00:00Z
review text: The authors consider the Hubbel rectangular source integral (HRSI) of the form \[ \int^b_a {1\over\sqrt{x^2+1}}\text{tan}^{-1}\left( {a \over \sqrt{x^2+1}} \right)dx. \] This integral is the leading term in a series of solutions arising in the computation of the radiation field from a plane isotropic rectangular source. For this integral, a survey of various properties is presented. In addition, a further generalization of HRSI using a modified form of the Gauss hypergeometric function is proposed.
Mathematics Subject Classification ID: 33C90
Mathematics Subject Classification ID: 33C65
zbMATH DE Number: 1882315
zbMATH Keywords: rectangular source integral
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: asymptotic formulas
zbMATH Keywords: approximations
reviewed by: Hans Benker
MaRDI profile type: Publication
full work available at URL: a:1020525315841
OpenAlex ID: W204284353
description: scientific article; zbMATH DE number 1882315