Abstract

Complex analysis is simply the culmination of a thorough study of fundamental concepts of complex differentiation and integration, and has a flavour not found in the real domain. It can effectively used for constructing solutions to the Laplace equation on complicated planar domains which can be found in a broad range of physical problems, such as fluid mechanics, thermodynamics, aerodynamics, electrostatics and elasticity. However, in the present paper, the authors introduced and studied a new subclass of Bazilevic type in the open unit disk where coefficient inequalities, distortion theorems, modified Hadamard products among others for functions belonging to the aforementioned subclass were obtained while several interesting corollaries follow as simple consequences.