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 25 条

[1] ON LAPPAN'S FIVE-VALUED THEOREM FOR φ-NORMAL FUNCTIONS OF SEVERAL VARIABLES
Datt, G.
UKRAINIAN MATHEMATICAL JOURNAL, 2023, 74 (9) : 1463 - 1470
[2] 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
[3] On Lappan’s Five-Valued Theorem for φ-Normal Functions of Several Variables
G. Datt
Ukrainian Mathematical Journal, 2023, 74 : 1463 - 1470
[4] Some generalizations of Montel's theorem
Cartwright, ML
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1935, 31 : 26 - 30
[5] Lappan's five-point theorem for φ-normal harmonic mappings
Bohra, Nisha
Datt, Gopal
Pal, Ritesh
MONATSHEFTE FUR MATHEMATIK, 2025, 206 (04): : 797 - 808
[6] A generalization of Lappan’s five point theorem
Virender Singh
Banarsi Lal
Arabian Journal of Mathematics, 2023, 12 : 697 - 702
[7] Improvements to the Montel-Caratheodory theorem for families of Pn-valued holomorphic curves
Datt, Gopal
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2025, 70 (02) : 335 - 353
[8] On Lappan’s Five-Point Theorem
Tran Van Tan
Nguyen Van Thin
Computational Methods and Function Theory, 2017, 17 : 47 - 63
[9] A generalization of Lappan's five point theorem
Singh, Virender
Lal, Banarsi
ARABIAN JOURNAL OF MATHEMATICS, 2023, 12 (03) : 697 - 702
[10] On Lappan's Five-Point Theorem
Tran Van Tan
Nguyen Van Thin
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2017, 17 (01) : 47 - 63

← 1 2 3 →