Coefficient inequalities for certain analytic functions

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 star...

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Bibliographic Details
Main Authors: Junichi Nishiwaki, Shigeyoshi Owa
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202006890
Description
Summary: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.
ISSN:0161-1712
1687-0425