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Comment on 'Analytical results for a Bessel function times Legendre polynomials class integrals'
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Solid State Physics.
2007 (English)In: Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, Vol. 40, no 46, 14029-14031 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 40, no 46, 14029-14031 p.
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Physical Sciences Engineering and Technology
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URN: urn:nbn:se:uu:diva-14891DOI: 10.1088/1751-8113/40/46/N01OAI: oai:DiVA.org:uu-14891DiVA: diva2:42662
Available from: 2008-01-31 Created: 2008-01-31 Last updated: 2016-04-08Bibliographically approved

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Svedlindh, Peter

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