Pseudo Starlike Functions Involving Convex Combination Of Two Starlike Functions

ABSTRACT

In this paper, we introduce a new class of functions involving a familiar analytic characterization that was used to obtain sufficient conditions for starlikeness. We have discussed the impact of the convex combination of two starlike functions. The results obtained here extend or unify the various other well-known and new results.

Keywords: Analytic function, Convex function, Starlike function, Bazilevič function, Fekete-Szegö