A note on Ozaki's condition

被引：0
|
作者：
Nunokawa, Mamoru [1 ]
Sokol, Janusz [2 ]
机构：
[1] Univ Gunma, Hoshikuki-Cho 798-8,Chuou Ward, Chiba 2600808, Japan
[2] Univ Rzeszow, Coll Nat Sci, Ul Prof Pigon 1, PL-35310 Rzeszow, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 534卷 / 02期
关键词：
Analytic functions; Univalent; Multivalent;
D O I：
10.1016/j.jmaa.2023.127860
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider another proof of the Ozaki's condition for multivalent functions that if f (z) is analytic in a convex domain D and for some real value alpha we have Re{e(i alpha)f((p))(z)} > 0 in D, then f (z) is at most p-valent in D. Ozaki's condition is a generalization of the well-known Noshiro-Warschawski univalence condition. (c) 2023 Published by Elsevier Inc.
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