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

Cregg, P J and Svedlindh, Peter (2007) Comment on ‘Analytical results for a Bessel function times Legendre polynomials class integrals’. Journal of Physics A: Mathematical & Theoretical, 40. pp. 14029-14031.

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Official URL: http://www.iop.org/EJ/article/1751-8121/40/46/N01/...

Abstract

A result is obtained, stemming from Gegenbauer, where the products of certain Bessel functions and exponentials are expressed in terms of an infinite series of spherical Bessel functions and products of associated Legendre functions. Closed form solutions for integrals involving Bessel functions times associated Legendre functions times exponentials, recently elucidated by Neves et al(J. Phys. A: Math. Gen. 39 L293), are then shown to result directly from the orthogonality properties of the associated Legendre functions. This result offers greater flexibility in the treatment of classical Heisenberg chains and may do so in other problems such as occur in electromagnetic diffraction theory.

Item Type: Article
Departments or Groups: Materials Characterisation and Processing Group
Divisions: School of Engineering > Department of Engineering Technology
Depositing User: P.J. Cregg
Date Deposited: 09 Jan 2008 15:49
Last Modified: 22 Aug 2016 10:25
URI: http://repository.wit.ie/id/eprint/901

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