Integration of certain products associated with a generalized Meijer function
- 1 March 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 65 (2) , 471-477
- https://doi.org/10.1017/s0305004100044467
Abstract
In an attempt to give extensions of certain results in the theory of Mac-Robert's E-function and Meijer's (G-function, the integrals and are evaluated, for positive integral values of n, in terms of Agarwal's and their numerous interesting particular cases are deduced. The scope of a further generalization of (i) and (ii), with the aid of the Mellin inversion formula, is also discussed.It is observed that the integral (ii) provides an elegant generalization of some of the recent results of Srivastava which, in turn, incorporate a well-known formula due to Slater.This publication has 2 references indexed in Scilit:
- The integration of generalized hypergeometric functionsMathematical Proceedings of the Cambridge Philosophical Society, 1966
- Integrals involving E-functionsProceedings of the Glasgow Mathematical Association, 1959