A Remarkable Identity Involving Bessel Functions
Classical Analysis and ODEs
2014-08-20 v1 Mathematical Physics
math.MP
Abstract
We consider a new identity involving integrals and sums of Bessel functions. The identity provides new ways to evaluate integrals of products of two Bessel functions. The identity is remarkably simple and powerful since the summand and integrand are of exactly the same form and the sum converges to the integral relatively fast for most cases. A proof and numerical examples of the identity are discussed.
Cite
@article{arxiv.1103.0058,
title = {A Remarkable Identity Involving Bessel Functions},
author = {Diego E. Dominici and Peter M. W. Gill and Taweetham Limpanuparb},
journal= {arXiv preprint arXiv:1103.0058},
year = {2014}
}
Comments
10 pages, 2 figures