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

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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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Additional Information

**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.