Integrals involving products of Bessel functions
- 1 January 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Glasgow Mathematical Association
- Vol. 6 (3) , 130-132
- https://doi.org/10.1017/s2040618500034882
Abstract
1. Introductory. In this paper certain infinite integrals involving products of four Bessel functions of different arguments are evaluated in terms of Appell's function F4 by the methods of the operational calculus. The results obtained are believed to be new.As usual, the conventional notation will be used to denote the classical Laplace integral relationIn the proofs of the formulae the following results will be required [1, pp. 281, 284], [3, pp. 78, 79].Keywords
This publication has 1 reference indexed in Scilit:
- Operational Representations of Whittaker's Confluent Hypergeometric Function and Weber's Parabolic Cylinder FunctionProceedings of the London Mathematical Society, 1932