scholarly journals A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables

2016 ◽  
Vol 444 (2) ◽  
pp. 1114-1132 ◽  
Author(s):  
Tingbin Cao ◽  
Risto Korhonen
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Second Main Theorem ◽  
Meromorphic Mappings ◽  
The Second Main Theorem

q-Differences theorems for meromorphic maps of several complex variables intersecting hypersurfaces

2020 ◽  
pp. 2150040
Author(s):  
Pham Duc Thoan ◽  
Nguyen Hai Nam ◽  
Noulorvang Vangty
Keyword(s):  
Growth Condition ◽  
Meromorphic Functions ◽  
Complex Variables ◽  
Zero Order ◽  
Several Complex Variables ◽  
Meromorphic Mappings ◽  
Meromorphic Maps

In this paper, we show some [Formula: see text]-difference analogues of the second main theorems for algebraically nondegenerate meromorphic mappings over the field [Formula: see text] of zero-order meromorphic functions in [Formula: see text] satisfying [Formula: see text] intersecting hypersurfaces, located in subgeneral position in [Formula: see text], where [Formula: see text] and [Formula: see text] may be different. As an application, we give some unicity theorems for meromorphic mappings of [Formula: see text] into [Formula: see text] under the growth condition “order [Formula: see text]”, which are analogous to Picard’s theorems.

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