The object of this paper is to give a generalization of Gauss hypergeometric function, and to investigate its basic properties. Further, we define some fractional integral operators and their inverses in terms of the Mellin transform. Several well known integral operators, including Saigo operators can be derived from the results established here.
Virchenko, N.; Lisetska, O.; and Kalla, S. L.
On Some Fractional Integral Operators Involving Generalized Gauss Hypergeometric Functions,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
2, Article 6.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss2/6