单位圆内解析函数的一个性质

One Property of Analytic Function in the Unit Disc

利用单位圆内Nevanlinna理论,研究了单位圆内函数f=eg的性质.设g为单位圆D={z;|z|<1}内的解析函数,f=eg.若g为可允许的,则ρ(f)=∞;若pg∈G,则p 3≤ρ(f)≤p.

By using the Nevanlinna＇s theory of meromorphic functions in the unit disc, the properties of function f = eg in the unit disc are investigated. Let g be an analytic function in the unit disc D = {z;｜z ｜〈 1}, and f = eg . It is shown that p（f） = ∞ provided that g is admissible, and p - 3 ≤p（f） ≤p provided that g e Gp.