Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on ℙn

被引：0

作者：

Datt, Gopal ^{[1
]}

Gupta, Naveen ^{[2
]}

Khanna, Nikhil ^{[3
]}

Pal, Ritesh ^{[1
]}

机构：

[1] Babasaheb Bhimrao Ambedkar Univ, Dept Math, Lucknow, Uttar Pradesh, India

[2] Indian Inst Sci, Dept Math, Bengaluru, Karnataka, India

[3] Sultan Qaboos Univ, Coll Sci, Dept Math, Muscat, Oman

来源：

JOURNAL OF FUNCTION SPACES | 2025年 / 2025卷 / 01期

关键词：

complex projective space; holomorphic mapping; hyperplanes in general position; normal families;

D O I：

10.1155/jofs/9969004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in & Popf;(n). We consider wandering moving hyperplanes (i.e., depending on the respective holomorphic curve in the family under consideration) and establish a sufficient condition for normality concerning shared hyperplanes.

引用

页数：7

共 12 条

[1] NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS INTO COMPLEX PROJECTIVE SPACE CONCERNING SHARED HYPERPLANES
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[2] Holomorphic Curves into ■~N(C) That Share a Set of Moving Hypersurfaces
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[7] Normal Criteria for a Family of Holomorphic Curves
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[8] NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
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[9] NORMAL CRITERION FOR FAMILIES OF HOLOMORPHIC MAPS OF SEVERAL COMPLEX VARIABLES INTO PN(C) WITH MOVING HYPERSURFACES
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[10] Normal families of holomorphic functions and mappings on a banach space
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