Generalizations of Montel's normal criterion and Lappan's five-valued theorem to holomorphic curves

被引：5

作者：

Pei-Chu Hu ^{[1
]}

Nguyen Van Thin ^{[1
,2
]}

机构：

[1] Shandong Univ, Dept Math, Jinan, Peoples R China

[2] Thai Nguyen Univ Educ, Dept Math, Thai Nguyen, Vietnam

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 04期

关键词：

Normal family; normal mapping; Nevanlinna theory;

D O I：

10.1080/17476933.2019.1588260

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend Montel's normal criterion to a family F of holomorphic mappings from a domain D of the complex plane C into a complex projective space P-n(C) of dimension n. Furthermore, Lappan's five-valued theorem is extended to holomorphic curves.

引用

页码：525 / 543

页数：19

共 6 条

[1] Normal family of holomorphic mappings and a generalization of Lappan's five-valued theorem to holomorphic mapping in several variables
Chen, Wei
Chen, Jian
Van Thin, Nguyen
FILOMAT, 2023, 37 (26) : 8813 - 8828
[2] On Lappan’s Five-Point Theorem
Tran Van Tan
Nguyen Van Thin
Computational Methods and Function Theory, 2017, 17 : 47 - 63
[3] On Lappan's Five-Point Theorem
Tran Van Tan
Nguyen Van Thin
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2017, 17 (01) : 47 - 63
[4] Applications of difference analogue of Cartan's second main theorem for holomorphic curves
Dyavanal, Renukadevi Sangappa
JOURNAL OF ANALYSIS, 2020, 28 (02) : 615 - 622
[5] REMARKS TO CARTAN'S SECOND MAIN THEOREM FOR HOLOMORPHIC CURVES INTO PN(C)
Yang, Liu
Shi, Lei
Pang, Xuecheng
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 145 (08) : 3437 - 3445
[6] Applications of difference analogue of Cartan’s second main theorem for holomorphic curves
Renukadevi Sangappa Dyavanal
The Journal of Analysis, 2020, 28 : 615 - 622

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