The second main theorem for algebroid functions of several complex variables

1995 ◽  
Vol 220 (1) ◽  
pp. 99-126 ◽  
Author(s):  
Pei-chu Hu ◽  
Chung-chun Yang
Keyword(s):  
Complex Variables ◽  
Several Complex Variables ◽  
Second Main Theorem ◽  
Algebroid Functions ◽  
The Second Main Theorem

The second main theorem concerning small algebroid functions

2012 ◽  
Vol 28 (10) ◽  
pp. 2089-2106
Author(s):  
Dao Chun Sun ◽  
Zong Sheng Gao ◽  
Hui Fang Liu
Keyword(s):  
Second Main Theorem ◽  
Algebroid Functions ◽  
The Second Main Theorem

scholarly journals Meromorphic or Holomorphic Completion of a Reinhardt Domain

1970 ◽  
Vol 38 ◽  
pp. 1-12 ◽  
Author(s):  
Eiichi Sakai
Keyword(s):  
Meromorphic Function ◽  
Power Series ◽  
Meromorphic Functions ◽  
Integral Formula ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Reinhardt Domain ◽  
Continuity Theorem ◽  
Cauchy’S Integral Formula ◽  
Long Time

In the theory of functions of several complex variables, the problem about the continuation of meromorphic functions has not been much investigated for a long time in spite of its importance except the deeper result of the continuity theorem due to E. E. Levi [4] and H. Kneser [3], The difficulty of its investigation is based on the following reasons: we can not use the tools of not only Cauchy’s integral formula but also the power series and there are indetermination points for the meromorphic function of many variables different from one variable. Therefore we shall also follow the Levi and Kneser’s method and seek for the aspect of meromorphic completion of a Reinhardt domain in Cn.

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