Laplace Transform of Products of Bessel Functions: A Visitation of Earlier Formulas
- ️Irfan Baig, Mirza M.
- ️Tue Jun 01 2010
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.
Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Journal
Quarterly of Applied Mathematics
Publisher
American Mathematical Society (AMS)
Citation
Kausel, Eduardo, and Mirza M. Irfan Baig. Laplace Transform of Products of Bessel Functions: A Visitation of Earlier Formulas. Quarterly of Applied Mathematics 70(1): 77–97, 2012.
Version:
Author's final manuscript