An operational procedure for Hankel type integrals

International Journal of Mathematics and Mathematical Sciences

C.Nasim¹ 

[1] Department of Mathematics and Statistics, The University of Calgary, Calgary T2N 1N4, Alberta, Canada;

关键词: differential operator of infinite order;    Hankel transform;    Mellin transform;    Bessel functions;    hypergeometric functions.;   

DOI  :  10.1155/S0161171287000346

来源: DOAJ

【 摘 要 】

In this paper, an operational procedure is established to evaluate Hankel type integrals. First, an operator L(θ), θ≡−xddx is constructed, which defines the integral. Then making use of some basic properties of this operator, an elementary procedure is developed for evaluating integrals for a special class of analytic functions. A few example are given to illustrate the technique.

【 授权许可】

Unknown