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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Laplace transform of products of Bessel functions: A visitation of earlier formulas

Authors: Eduardo Kausel and Mirza M. Irfan Baig
Journal: Quart. Appl. Math. 70 (2012), 77-97
MSC (2010): Primary 44-00, 44A10, 74-00
Published electronically: September 16, 2011
MathSciNet review: 2920617
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Abstract | References | Similar Articles | Additional Information

Abstract: This note deals with the Laplace transforms of integrands of the form ${x^\lambda }{J_\alpha }\left ( {ax} \right ){J_\beta }\left ( {bx} \right )$, which are found in numerous fields of application. Specifically, we provide herein both a correction and a supplement to the list of integrals given in 1997 by Hanson and Puja, who in turn extended the formulas of Eason, Noble and Sneddon of 1956. The paper concludes with an extensive tabulation for particular cases and range of parameters.

References [Enhancements On Off] (What's this?)

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Additional Information

Eduardo Kausel
Affiliation: Professor of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Mirza M. Irfan Baig
Affiliation: Simpson, Gumpertz & Heger Inc., Waltham, Massachusetts 02453

Received by editor(s): June 2, 2010
Published electronically: September 16, 2011
Article copyright: © Copyright 2011 Brown University
The copyright for this article reverts to public domain 28 years after publication.