Fractional Derivatives of Certain Generalized Hypergeometric Functions of Several Variables
Copyright policy )Fractional Derivatives of Certain Generalized Hypergeometric Functions of Several Variables
The main object of the present paper is to derive a number of key formulas for the fractional derivatives of the multivariable \(H\)-function (which is defined by a multiple contour integral of Mellin-Barnes type). Each of these formulas can be shown to apply to yield interesting new results for various classes of generalized hypergeometric functions of several variables. Some of these applications of the key formulas provide potentially useful generalizations of known results in the theory of fractional calculus.
- Bundelkhand University India
- University of Victoria Canada
multivariable \(H\)-function, Other hypergeometric functions and integrals in several variables, Fractional derivatives and integrals, Applied Mathematics, Integral transforms of special functions, Analysis
multivariable \(H\)-function, Other hypergeometric functions and integrals in several variables, Fractional derivatives and integrals, Applied Mathematics, Integral transforms of special functions, Analysis
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