Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Elementary exact evaluation of infinite integrals of the product of several spherical Bessel functions, power and exponential

Author: V. I. Fabrikant
Journal: Quart. Appl. Math. 71 (2013), 573-581
MSC (2000): Primary 33C55, 81V35
DOI: https://doi.org/10.1090/S0033-569X-2012-01300-8
Published electronically: November 19, 2012
MathSciNet review: 3112829
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Abstract: An elementary analytical method is presented for computation of integrals from zero to infinity involving the product of 3 or more spherical Bessel functions multiplied by an exponential and an arbitrary power. The method is based on the fact that spherical Bessel functions are essentially combinations of elementary functions and that any can be obtained from the function of zero order by an appropriate differentiation.

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V. I. Fabrikant
Affiliation: Prisoner $#$167932D, Archambault Jail, 242 Montee Gagnon, Ste-Anne-Des-Plaines, Quebec, Canada J0N 1H0
Email: valery{\textunderscore}fabrikant@hotmail.com

DOI: https://doi.org/10.1090/S0033-569X-2012-01300-8
Received by editor(s): November 16, 2011
Published electronically: November 19, 2012
Article copyright: © Copyright 2012 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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