Normal family of holomorphic mappings and a generalization of Lappan’s five-valued theorem to holomorphic mapping in several variables-Reference-Cited by-同舟云学术

Normal family of holomorphic mappings and a generalization of Lappan’s five-valued theorem to holomorphic mapping in several variables

Published:2023 Issue:26 Volume:37 Page:8813-8828
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Chen Wei¹,Chen Jian²,Thin Nguyen³

Affiliation:

1. School of Science, Chongqing University of Posts and Telecommunications, Chongqing, China

2. School of Mathematics and Statistics, Wuhan University, Wuhan, People’s Republic of China

3. Thai Nguyen University of Education, Department of Mathematics, Luong Ngoc Quyen street, Thai Nguyen city, Thai Nguyen, Viet Nam + Thang Long Institute of Mathematics and Applied Sciences, Thang Long University, Nghiem Xuan Yem, Hoang Mai, Hanoi, Viet Nam

Abstract

In this paper, we prove some results in normal family of holomorphic mappings intersecting with moving hypersurfaces. Our results strongly extend the Montel?s normal criterion in several variables and some previous works. Moreover, we also give a generalization of Lappan?s five-valued theorem to ?-normal mapping in several complex variables. In particular, we correct a result due to Hahn [Complex Variables, 6, 109-121,1986] about Lappan-type theorem for holomorphic curve in several variables.

Publisher

National Library of Serbia

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