The H-function transform

K. C. Gupta, P. K. Mittal
1970 Journal of the Australian Mathematical Society  
Here we introduce a new integral transform whose kernel is the Hfunction. Since most of the important functions occurring in Applied Mathematics and Physics are special cases of the //-function, various integral transforms involving these functions as kernels follow as special cases of our transform. We mention some of them here and observe that a study of this transform gives general and useful results which serve as key formulae for several important integral transforms viz. Laplace
more » ... . Laplace transform, Hankel transform. Stieltjes transform and the various generalizations of these transforms. In the end we establish an inversion formula for the new transform and point out its special cases which are generalizations of results found recently.
doi:10.1017/s1446788700006339 fatcat:emtyn2l6brcfpkj57squx6gn4a