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(alpha). Furthermore, an example for our results is shown. (C) 2010 Elsevier Ltd. All rights reserved.