On unified fractional integral operators
Copyright policy )On unified fractional integral operators
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.
Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Fractional derivatives and integrals, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, fractional integral operators, Mellin transform, multivariate H-function
Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Fractional derivatives and integrals, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, fractional integral operators, Mellin transform, multivariate H-function
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