Using Ahlfors’ theory of covering surface and a type-function,we confirm the existence theorem of a Borel radius and a T-radius for the algebroidal function dealing with multiple values in the unit disc,which briefly...Using Ahlfors’ theory of covering surface and a type-function,we confirm the existence theorem of a Borel radius and a T-radius for the algebroidal function dealing with multiple values in the unit disc,which briefly extend some results for the algebroidal functions in the complex plane展开更多
In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk ...In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained.展开更多
利用亚纯函数的值分布理论,研究了亚纯函数的Jackson差分算子和Askey-Wilson差分算子的对数Borel例外值的存在性问题,分别刻画了有穷对数级的非常数亚纯函数f与Jackson差分算子D n qf或Askey-Wilson差分算子D AW f的对数Borel例外值之...利用亚纯函数的值分布理论,研究了亚纯函数的Jackson差分算子和Askey-Wilson差分算子的对数Borel例外值的存在性问题,分别刻画了有穷对数级的非常数亚纯函数f与Jackson差分算子D n qf或Askey-Wilson差分算子D AW f的对数Borel例外值之间的关系。展开更多
基金supported by the National Natural Science Foundation of China (11101096)
文摘Using Ahlfors’ theory of covering surface and a type-function,we confirm the existence theorem of a Borel radius and a T-radius for the algebroidal function dealing with multiple values in the unit disc,which briefly extend some results for the algebroidal functions in the complex plane
文摘In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained.
