A Theorem Connecting the H-Transform and Fractional Integral Operators Involving the Multivariable H-Function

10.6988/TOJMS.201011.0383

Kantesh Gupta；Vandana Agrawal

Modified H-function transform ； Multivariable H-function ； Appell function F1

Tamsui Oxford Journal of Mathematical Sciences

26卷4期（2010 / 11 / 01）

383 - 395

英文

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.