An Investigation on a Subclass of p-Valently Starlike Functions in the Unit Disc.

Let Ap denote the class of functions of the form f (z) = zp+ap+1 zp+1+a p+2zp+2+…which are regular and p-valent in the open unit disc D = {z : |z| < 1}. Let Mp(α) be the subclass of Ap consisting of functions f(z) which satisfy Re (z f′ (z)/ f(z) < α, (z ε D) for some real α (α > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class Mp(α). [ABSTRACT FROM AUTHOR]