Third-Order Differential Subordinations Using Fractional Integral of Gaussian Hypergeometric Function

Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case third-order by José A. Antonino in 2011. In this paper, new results are proved regarding that extend ones involving classical subordination theory. A method finding a dominant is provided when behavior function not known on boundary unit disc. Additionally, obtaining best presented. This newly proposed essentially consists univalent solution equation corresponds to considered investigation; previous have been obtained mainly investigating specific classes admissible functions. The fractional integral Gaussian hypergeometric function, previously associated with fuzzy subordination, used paper obtain an interesting convex function. also provided, example presented proves importance theoretical