关于无穷级亚纯函数

On Meromorphic Functions of Infinite Order

用角域内的Nevanlinna理论与型函数,研究了无穷级亚纯函数的值分布,得到了无穷级亚纯函数存在涉及小函数的精确级Borel方向与Hayman方向,同时证明了无穷级亚纯函数存在涉及小函数的T方向与Hayman-T方向.所得结果使现有无穷级的结果为推论.

By using Nevanlinna theory of the angular domain and the type function of characteristic T（r,f）, we study the value distribution of meromorphic functions of infinite order, obtain the existences of Borel direction and Hayman direction of proximate order dealing with small functions, at the same time prove existences of T direction and Hayman-T direction dealing with small functions, from which we can easily deduce the existing results.