Vol. 26, No. 2, 1968

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Fractional integration and inversion formulae associated with the generalized Whittaker transform

H. M. (Hari Mohan) Srivastava

Vol. 26 (1968), No. 2, 375–377
Abstract

In the present note, we invoke the theories of the Mellin transform as well as fractional integration to investigate a solution of the integral equation

∫ ∞
(xt)σ−(1∕2)e−(1∕2)xtWk+ (1∕2),m(xt)f(t)dt = W (σ){f : x},x > 0,
0                                       k,m
(*)

which defines a generalized Whittaker transform of the unknown function f L2(0,) to be determined in terms of its image Wk,m(σ){f : x}.

It is shown that under certain constraints (*) can be reduced to the form of a Laplace integral which is readily solvable by familiar techniques.

Mathematical Subject Classification
Primary: 44.50
Milestones
Received: 27 November 1967
Published: 1 August 1968
Authors
H. M. (Hari Mohan) Srivastava