International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 5, Pages 285-290

Coefficient inequalities for certain analytic functions

Junichi Nishiwaki and Shigeyoshi Owa

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.


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.