Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626495 | Applied Mathematics and Computation | 2015 | 8 Pages |
Abstract
Symbolic methods of umbral nature are exploited to derive series expansion for the products of Bessel functions. It is shown that the product of two cylindrical Bessel functions can be written in terms of Jacobi polynomials. The procedure is extended to products of an arbitrary number of functions and the link with previous researchers is discussed. We show that the technique we propose and the use of the Ramanujan master theorem allow the derivation of integrals of practical interest.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Giuseppe Dattoli, Emanuele Di Palma, Elio Sabia, Silvia Licciardi,