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

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.