A Fundamental Inequality for Meromorphic Functions in an Angular Domain and Its Application  被引量:10

A Fundamental Inequality for Meromorphic Functions in an Angular Domain and Its Application

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作  者:Zhang Xuelian Department of Applied Mathematics Beijing Institute of Technology Beijing,100081 China 

出  处:《Acta Mathematica Sinica,English Series》1994年第3期308-314,共7页数学学报(英文版)

基  金:Supported by the National Natural Science Foundation of China.

摘  要:This paper is to study the characteristic functions of meromorphic functions for an angular domain.We show an inequality which is similar to the inequality in the second fundamental theorem of Nevranlinna,and estimate its remainder.Finally,as an application we obtain a sufficient and necessary condition of Borel directions.This paper is to study the characteristic functions of meromorphic functions for an angular domain.We show an inequality which is similar to the inequality in the second fundamental theorem of Nevranlinna,and estimate its remainder.Finally,as an application we obtain a sufficient and necessary condition of Borel directions.

关 键 词:INEQUALITY BOREL Domain angular DIRECTIONS false SUPPOSE establishing latter ENOUGH 

分 类 号:O1[理学—数学]

 

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