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International Journal of Mathematics and Mathematical Sciences
Volume 28, Issue 9, Pages 557-560
http://dx.doi.org/10.1155/S0161171201011656

A sufficient condition for starlikeness of order α

1Department of Mathematics, Babes-Bolyai University, Cluj-Napoca 3400, Romania
2Department of Mathematics, University of Oradea, Oradea 3700, Romania

Received 28 January 2001; Revised 12 June 2001

Copyright © 2001 Hindawi Publishing Corporation. 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

We obtain a sufficient condition for starlikeness of order α, |f(z)λ(f(z)/z)+λ1|<M=Mn(λ,α), where λ[0,1], α[0,1] and the function f(z)=z+an+1zn+1+ is analytic in the unit disc U.