•  
  •  
 

Turkish Journal of Mathematics

DOI

-

Abstract

Let A_p denote the class of functions of the form f(z) = z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+ ··· which are regular and p-valent in the open unit disc D = {z : z < 1}. Let M_p(\alpha) be the subclass of A_p consisting of functions f(z) which satisfy Re ( z \frac{f'(z)}{f(z)}) < \alpha, (z \in D) for some real \alpha (\alpha > 1). The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class M_p(\alpha).

First Page

221

Last Page

228

Included in

Mathematics Commons

Share

COinS