Fractional integration of the H-function of several variables
Copyright policy )Fractional integration of the H-function of several variables
The main object of the present paper is to derive a number of key formulas for the fractional integration of the multivariable \(H\)-function (which is defined by a multiple contour integral of Mellin-Barnes type). Each of the general Eulerian integral formulas (obtained in this paper) are shown to yield interesting new results for various families of generalized hypergeometric functions of several variables. Some of these applications of the key formulas would provide potentially useful generalizations of known results in the theory of fractional calculus.
- University of Victoria Canada
- Veer Kunwar Singh University India
multivariable \(H\)-function, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), H-functions of one and more variables, Fractional calculus, Eulerian integrals, (Srivastava-Daoust) generalized Lauricella function, Other hypergeometric functions and integrals in several variables, Computational Mathematics, Fractional integration, Computational Theory and Mathematics, Fractional derivatives and integrals, Modelling and Simulation, Gamma and Beta functions, Appell functions, fractional integration, Mellin-Barnes contour integrals, Binomial expansion
multivariable \(H\)-function, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), H-functions of one and more variables, Fractional calculus, Eulerian integrals, (Srivastava-Daoust) generalized Lauricella function, Other hypergeometric functions and integrals in several variables, Computational Mathematics, Fractional integration, Computational Theory and Mathematics, Fractional derivatives and integrals, Modelling and Simulation, Gamma and Beta functions, Appell functions, fractional integration, Mellin-Barnes contour integrals, Binomial expansion
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