Differential subordination and superordination results for p-valent analytic functions associated with (r,k)-Srivastava fractional integral calculus

Abstract

The object of the present paper is to investigate generalizations of the hypergeometric function and Srivastava fractional integral calculus by using a general version of gamma function(namely (r,k)-gamma function). • Some fundamental results for these new concepts are provided. • We introduced differential subordination and superordination results associated with the defined new fractional integral operator. • Also, we establish sandwich results for p-valent analytic functions involving this operator. • Finally, an application to fluid mechanics is discussed.

Keywords

• Differential Subordination and Superordination involving (r,k)-Srivastava Fractional Integral Calculus