Theorems relating Hankel and Meijer's Bessel transforms-Reference-Cited by-同舟云学术

Theorems relating Hankel and Meijer's Bessel transforms

Published:1963-07 Issue:2 Volume:6 Page:107-112
ISSN:2040-6185
Container-title:Proceedings of the Glasgow Mathematical Association
language:en
Short-container-title:Proceedings of the Glasgow Mathematical Association

Author:

Sharma K. C.

Abstract

In this note a theorem, giving a relation between the Hankel transform of f(x) and Meijer's Bessel function transform of f(x)g(x), is proved. Some corollaries, obtained by specializing the function g(x), are stated as theorems. These theorems are further illustrated by certain suitable examples in which certain integrals involving products of Bessel functions or of Gauss's hypergeometric function and Appell's hypergeometric function are evaluated. Throughout this note we use the following notations:

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Some Infinite Integrals Involving Bessel Functions (II)

2. Some infinite integrals involving Bessel functions;Bailey;Proc. London Math. Soc.,1935

3. A Relation between Laplace and Hankel Transforms

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