Published November 16, 2007 | Version v1
Journal article

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

  • 1. Materials Characterisation and Processing Group, Waterford Institute of Technology, Waterford (Ireland)
  • 2. Department of Engineering Sciences, Uppsala University, Box 534, SE-751 21 Uppsala (Sweden)

Description

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. (comment)

Additional details

Identifiers

DOI
10.1088/1751-8113/40/46/N01;
PII
S1751-8113(07)51919-0;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
46
Journal Page Range
p. 14029-14031
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39028891
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BESSEL FUNCTIONS; DIFFRACTION; INTEGRALS; LEGENDRE POLYNOMIALS; MATHEMATICAL SOLUTIONS
Descriptors DEC
COHERENT SCATTERING; FUNCTIONS; POLYNOMIALS; SCATTERING