Physics – Mathematical Physics
Scientific paper
2001-02-21
Physics
Mathematical Physics
5 pages LATEX, no figures. Accepted 2002, Physica Scripta
Scientific paper
10.1238/Physica.Regular.065a0036
We provide a simple analytic formula in terms of elementary functions for the Laplace transform j_{l}(p) of the spherical Bessel function than that appearing in the literature, and we show that any such integral transform is a polynomial of order l in the variable p with constant coefficients for the first l-1 powers, and with an inverse tangent function of argument 1/p as the coefficient of the power l. We apply this formula for the Laplace transform of the memory function related to the Langevin equation in a one-dimensional Debye model.
Ludu Andrei
O'Connell R. F.
No associations
LandOfFree
Laplace transform of spherical Bessel functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Laplace transform of spherical Bessel functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Laplace transform of spherical Bessel functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-520388