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UNIFIED ELLIPTIC-TYPE INTEGRALS AND ASYMPTOTIC FORMULAS

UNIFIED ELLIPTIC-TYPE INTEGRALS AND ASYMPTOTIC FORMULAS DEMONSTRATIO MATHEMATICAVol. XLINo 32008V. B. L. Chaurasia, S.C. PandeyUNIFIED E L L I P T I C - T Y P E INTEGRALS ANDASYMPTOTIC FORMULASA b s t r a c t . The object of the present paper is to consider a unified and extendedform of certain families of elliptic-type integrals, which have been discussed in number ofearlier works on the subject due to their importance and applications in problems arisingin radiation physics and nuclear technology. The results obtained are of general characterand include the investigations carried out by several authors. We obtain asymptoticformulas for the unified elliptic-type integrals.1. IntroductionElliptic integrals occur in a number of physical problems [1-2], and frequently in the form of multiple integrals. For example, the problems dealingwith the computation of the radiations field off axis from certain uniformcircular disc radiating according to an arbitrary angular distribution law [3],when treated with Legendre polynomials expansion method, give rise to Epstein and Hubbell [4, 21] family of elliptic-type integrals:7r(1.1)f2j(k)= \(l-k2cosdyj-%od6-,j = 0,1,2,...and 0 < k < 1.Elliptic integrals (1.1) have been studied and generalized by many authors notably by Kalla [5, 6] and Kalla et al. [7]. Kalla and Al-Saqabi [8]and Saxena et al. [9], Kalla http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

UNIFIED ELLIPTIC-TYPE INTEGRALS AND ASYMPTOTIC FORMULAS

Demonstratio Mathematica , Volume 41 (3): 12 – Jul 1, 2008

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References (29)

Publisher
de Gruyter
Copyright
© by V. B. L. Chaurasia
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-2008-0307
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO MATHEMATICAVol. XLINo 32008V. B. L. Chaurasia, S.C. PandeyUNIFIED E L L I P T I C - T Y P E INTEGRALS ANDASYMPTOTIC FORMULASA b s t r a c t . The object of the present paper is to consider a unified and extendedform of certain families of elliptic-type integrals, which have been discussed in number ofearlier works on the subject due to their importance and applications in problems arisingin radiation physics and nuclear technology. The results obtained are of general characterand include the investigations carried out by several authors. We obtain asymptoticformulas for the unified elliptic-type integrals.1. IntroductionElliptic integrals occur in a number of physical problems [1-2], and frequently in the form of multiple integrals. For example, the problems dealingwith the computation of the radiations field off axis from certain uniformcircular disc radiating according to an arbitrary angular distribution law [3],when treated with Legendre polynomials expansion method, give rise to Epstein and Hubbell [4, 21] family of elliptic-type integrals:7r(1.1)f2j(k)= \(l-k2cosdyj-%od6-,j = 0,1,2,...and 0 < k < 1.Elliptic integrals (1.1) have been studied and generalized by many authors notably by Kalla [5, 6] and Kalla et al. [7]. Kalla and Al-Saqabi [8]and Saxena et al. [9], Kalla

Journal

Demonstratio Mathematicade Gruyter

Published: Jul 1, 2008

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