Comment on 'Analytical results for a Bessel function times Legendre polynomials class integrals'

A result is obtained, stemming from Gegenbauer, where the products of certainBessel functions and exponentials are expressed in terms of an infinite seriesof spherical Bessel functions and products of associated Legendre functions.Closed form solutions for integrals involving Bessel functions times...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 40; no. 46; pp. 14029 - 14031
Main Authors Cregg, P J, Svedlindh, P
Format Journal Article
LanguageEnglish
Published IOP Publishing 16.11.2007
Subjects
Fysik
NATURAL SCIENCES
NATURVETENSKAP
Physics
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Summary:A result is obtained, stemming from Gegenbauer, where the products of certainBessel functions and exponentials are expressed in terms of an infinite seriesof spherical Bessel functions and products of associated Legendre functions.Closed form solutions for integrals involving Bessel functions times associatedLegendre functions times exponentials, recently elucidated by Neves et al(J. Phys. A: Math. Gen. 39 L293), are then shown to result directly from theorthogonality properties of the associated Legendre functions. This result offersgreater flexibility in the treatment of classical Heisenberg chains and may doso in other problems such as occur in electromagnetic diffraction theory.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/40/46/N01