Fractional Derivatives of Certain Generalized Hypergeometric Functions of Several Variables

Srivástava, H. M.; Chandel, R. C. Singh; Vishwakarma, P.K.

doi:10.1006/jmaa.1994.1221

Cited by 16 publications

(6 citation statements)

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“…On reducing the operator to the Riemann-Liouville operator, we arrive at three fractional derivative formulae involving these operators, but we do not record them here explicitly. Again, our theorems 1, 2 and three will also give rise in essence to some other fractional derivative relation lying scattered in the literature (see [31], pp. 563-564, Eq.…”

Section: Proofmentioning

confidence: 79%

Unified Fractional Derivative Formulae for the Multivariable Aleph-Function

Ant¹

2018

GJSFR

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In this paper, we first evaluate unified finite multiple integrals whose integrand involves the product of the generalized hypergeometric function, general class of multivariable polynomials , the series expansion of multivariable A-function, a sequence of functions and the multivariable I-function. The arguments occurring in the integrand involve the product of factors of the form while that of , occurring herein involves a finite series of such coefficients. On account of the most general nature of the functions happening in the integrand of our integral, a large number of new and known integrals can be obtained from it merely by specializing the functions and parameters involved here. At the end, we shall see two corollaries.

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Section: Proofmentioning

confidence: 79%