On a Class of Univalent Functions

作     者：M.K.Aouf S.Owa 

作者机构：Dept. Math. Faculty of Science Univ. of Qatar P. C. Box 2713 Doha-Qatar Kinki Univ. Higashi-Osaka Osaka 577 Japan 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：1991年第2期

页      面：193-201页

主　　题：On a Class of Univalent Functions 

摘      要：A sharp coefficient estimate,distortion theorem and the radius of convexityare determined for the class R（α,β,A,B）of function f（z）=z+sum from n=2 to∞azsatisfyingthe condition|f’（z）-1/Bf’（z）-[B+（A-B）(1-α)]|βfor someα,β（0≤α1,0β≤1）and-1≤AB≤1,0B≤1 and for allz in U={z:|z|1}.A sufficient condition for a function to belong to R（α,β,A,B）has also been determined.