In the present paper, we first establish a general theorem that gives
the image of a modified H-transform in the fractional integral operator
involving the multivariable H-function. Next, we deduce two important
corollaries involving Wright generalized Bessel function, Mittag-Leffler
function, Appell function F1 and the product of Whittaker functions
which are also quite general in nature and of interest by themselves.
Several other new and known results can also be obtained from our main
theorem. We record here exact reference to one such known result.