SECOND MAIN THEOREM AND UNIQUENESS PROBLEM OF ZERO-ORDER MEROMORPHIC MAPPINGS FOR HYPERPLANES IN SUBGENERAL POSITION

被引:3
|
作者
Thi Tuyet Luong [1 ]
Dang Tuyen Nguyen [1 ]
Duc Thoan Pham [1 ]
机构
[1] Natl Univ Civil Engn, Dept Math, 55 Giai Phong Str, Hanoi, Vietnam
关键词
second main theorem; Nevanlinna theory; Casorati determinant; zero-order meromorphic mapping; hyperplanes; NEVANLINNA THEORY;
D O I
10.4134/BKMS.b160932
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we show the Second Main Theorems for zero-order meromorphic mapping of C-m into P-n(C) intersecting hyperplanes in subgeneral position without truncated multiplicity by considering the p-Casorati determinant with p is an element of C-m instead of its Wronskian determinant. As an application, we give some unicity theorems for meromorphic mapping under the growth condition "order=0". The results obtained include p-shift analogues of the Second Main Theorem of Nevanlinna theory and Picard's theorem.
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页码:205 / 226
页数:22
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