Conditions for Starlikeness of Multivalent Functions

被引：3
|
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, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 1-2期
关键词：
Analytic functions; univalent functions; Ozaki's condition;
D O I：
10.1007/s00025-016-0646-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A function f(z) meromorphic in a domain D subset of C is said to be p-valent in D if for each w the equation f(z) = w has at most p roots in D, where roots are counted in accordance with their multiplicity, and there is some v such that the equation f(z) = v has exactly p roots in D. We prove some new sufficient conditions for functions to be p-valently starlike in the unit disc.
引用
收藏
页码：359 / 367
页数：9
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