Products of Bessel functions and associated polynomials
Mathematical Physics
2019-06-12 v3 math.MP
Abstract
The symbolic method is used to get explicit formulae for the products or powers of Bessel functions and for the relevant integrals.
Cite
@article{arxiv.1311.1705,
title = {Products of Bessel functions and associated polynomials},
author = {G. Dattoli and E. Di Palma and E. Sabia and S. Licciardi},
journal= {arXiv preprint arXiv:1311.1705},
year = {2019}
}
Comments
In this revision the operator for the product of Bessel functions with order greater than zero has been correctly updated according to the last calculation performed during the Ph.D. thesis: Umbral Calculus, a Different Mathematical Language; arXiv:1803.03108 math.CA by Dr. Silvia Licciardi. The following equations has been updated: 11, 13, 17, 34, 40, not2, 2, 48