International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 5, Pages 285-290
doi:10.1155/S0161171202006890
Coefficient inequalities for certain analytic functions
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
Received 1 March 2001
Copyright © 2002 Junichi Nishiwaki and Shigeyoshi Owa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
For real α(α>1), we introduce subclasses M(α) and N(α) of analytic functions f(z) with f(0)=0 and f′(0)=1 in U. The object of the present paper is to consider
the coefficient inequalities for functions f(z) to be in the classes M(α) and N(α). Further, the bounds of α for functions f(z) to be starlike in U are considered.