On the Generatıng Functıons of the Newly Defıned Generalızed Hypergeometrıc Functıons

Abstract

In this paper, we have de ned new generalizations of some hypergeometric functions and fractional operators with the help of Fox-Wright function. Then, using each of the generalized fractional operators, we derived linear and bilinear generating function relations for these functions. Finally, we have shown that the newly de ned hypergeometric functions and fractional operators can be reduced to functions and operators presented in many studies in the literature by giving special values for their parameters.