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

P J Cregg, Peter Svedlindh

    Research output: Contribution to journalArticlepeer-review

    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.
    Original languageEnglish
    Pages (from-to)14029-14031
    JournalJournal of Physics A: Mathematical & Theoretical
    Volume40
    DOIs
    Publication statusPublished - 2007

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