An Improvement of Ozaki's P-Valent Conditions

作     者：Mamoru NUNOKAWA Nak Eun CHO Oh Sang KWON Janusz SOKOL 

作者机构：University of Gunma Hoshikuki-cho 798-8 Chuou-Ward Chiba 260-0808 Japan Department of Applied Mathematics College of Natural Sciences Pukyong National University Busan 608-737 Korea Department of Mathematics Kyungsung University Busan 608-736 Korea Department of Mathematics Rzeszow University of Technology Al. Powstancow Warszawy 12 35-959 Rzeszow Poland 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2016年第32卷第4期

页      面：406-410页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education Science and Technology(Grant No.2011-0007037) 

主　　题：Analytic functions univalent functions Ozaki’s condition 

摘      要：The old result due to[Ozaki,S.：On the theory of multivalent functions Ⅱ.*** Bunrika Daigaku Sect.A,45-87（1941）],says that if f（z） = zp ＋ ∑n=p＋1anzn∞ is analytic in a convex domain D and for some real α we have Re{exp（iα）f（p）（z）}〉 0 in D,then f（z） is at most p-valent in *** this paper,we consider similar problems in the unit disc B = {z ∈ C：｜z｜ 〈 1}.