A Normal Criterion Concerning Omitted Holomorphic Function

被引：2

作者：

Jin Hua YANG ^{[1
]}

Qi YANG ^{[1
]}

Xue Cheng PANG ^{[2
]}

机构：

[1] School of Mathematical Sciences, Xinjiang Normal University

[2] Department of Mathematics, East China Normal

来源：

ActaMathematicaSinica | 2019年 / 35卷 / 12期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we continue to discuss the normality concerning omitted holomorphic function and get the following result. Let F be a family of meromorphic functions on a domain D, k ≥ 4 be a positive integer, and let a（z） and b（z） be two holomorphic functions on D, where a（z） ≡ 0 and f'（z） = ∞ whenever a（z） = 0. If for any f k∈ F, f（z）-a（z）fk（z） = b（z）, then F is normal on D.

引用

页码：1972 / 1978

页数：7

共 50 条

[1] A Normal Criterion Concerning Omitted Holomorphic Function
Yang, Jin Hua
Yang, Qi
Pang, Xue Cheng
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (12) : 1972 - 1978
[2] A Normal Criterion Concerning Omitted Holomorphic Function
Jin Hua Yang
Qi Yang
Xue Cheng Pang
Acta Mathematica Sinica, English Series, 2019, 35 : 1972 - 1978
[3] A Normal Criterion Concerning Omitted Holomorphic Function
Jin Hua YANG
Qi YANG
Xue Cheng PANG
Acta Mathematica Sinica,English Series, 2019, (12) : 1972 - 1978
[4] A criterion of normality concerning holomorphic functions whose derivative omits a function
Liu, Xiaojun
Ye, Yasheng
CHINESE ANNALS OF MATHEMATICS SERIES B, 2011, 32 (05) : 699 - 710
[5] A criterion of normality concerning holomorphic functions whose derivative omits a function
Xiaojun Liu
Yasheng Ye
Chinese Annals of Mathematics, Series B, 2011, 32 : 699 - 710
[6] A Criterion of Normality Concerning Holomorphic Functions Whose Derivative Omits a Function
Xiaojun LIU 1 Yasheng YE 11 Department of Mathematics
Chinese Annals of Mathematics(Series B), 2011, 32 (05) : 699 - 710
[7] A criterion of normality concerning holomorphic functions whose derivative omit a function II
Qiaoyu Chen
Xiaojun Liu
Chinese Annals of Mathematics, Series B, 2012, 33 : 815 - 822
[8] A Criterion of Normality Concerning Holomorphic Functions Whose Derivative Omit a Function II
Qiaoyu CHEN
Xiaojun LIU
Chinese Annals of Mathematics,Series B, 2012, 33 (06) : 815 - 822
[9] A criterion of normality concerning holomorphic functions whose derivative omit a function II
Chen, Qiaoyu
Liu, Xiaojun
CHINESE ANNALS OF MATHEMATICS SERIES B, 2012, 33 (06) : 815 - 822
[10] A normal criterion of families of holomorphic functions
Peiyan Niu
Yan Xu
Analysis and Mathematical Physics, 2021, 11

← 1 2 3 4 5 →