Some properties of analytic functions relating to the Miller and Mocanu result

Abstract

Let P(alpha) be the class of analytic functions p(z) in the open unit disc U with p(0) = 1 and |arg p(z)| < pi/2 alpha (z is an element of U) for some real alpha > 0. The object of the present paper is to discuss some properties of p(z) in the class P(alp