Fractional Calculus of the Extended Hypergeometric Function

Recep Şahin, Oğuz Yağcı
2020 Applied Mathematics and Nonlinear Sciences  
AbstractHere, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the generalized Gauss hypergeometric function. Also, we obtain generating functions for generalization of extended hypergeometric function..
doi:10.2478/amns.2020.1.00035 fatcat:eqbmuhjdp5dm5h2ooefsiqapra