On unified fractional integral operators (Q1815029)

The present work of the author relates to the generalized fractional integral operators [the authors, Proc. Indian Acad. Sci., Math. Sci. 104, No. 2, 339-349 (1994; Zbl 0801.33014)] of Riemann-Liouville and Weyl types which have in their kernel certain polynomial system of \textit{H. M. Srivastava} [Indian J. Math. 14, 1-6 (1972; Zbl 0249.33006)] and also H-function of several variables. These operators involve a large number of parameters. The authors study Mellin transform, Mellin convolution, and an analogue of the familiar Parseval-Goldstein theorem for their generalized integral operators. Several special cases are also pointed out.