Generalized Lauricella Function & Fractional differential operators involving Multivariable H – Function

Ram Niwas Meghwal; Dr. K.G. Bhadana

Generalized Lauricella Function & Fractional differential operators involving Multivariable H – Function

Author : Ram Niwas Meghwal, Dr. K.G. Bhadana Journa Name: International Journal of Science, Engineering and Technology Country : India Volume: 12 issue: 3 Year: 2024 Views : 394

Abstract:

In this paper we use fractional differential operators and to derive a number of key formulas of multivariable H-function. We use the generalized Leibnitz’s rule for fractional derivatives in order to obtain one of the aforementioned formulas, which involve a product of two multivariables H-function. It is further shown that ,each of these formulas yield interesting new formulas for certain multivariable hypergeometric function such as generalized Lauricella function (Srivastava-Dauost)and Lauriella hypergeometric function some of these application of the key formulas provide potentially useful generalization of known result in the theory of fractional calculus.