An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function

Abstract

Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function. A new geometric class, namely a uniformly starlike class, is provided. Furthermore, certain properties are discussed such as coefficient bounds, growth, distortion results, radii of convexity, starlikeness and close-to-convexity.

Keywords

• Univalent function, Starlike function, Hadamard product, Wright func-tion, Koebe function.