具有亏值的亚纯函数的唯一性

改进了Ozawa的一个关于整函数的唯一性定理,得到了∞为亏值的亚纯函数唯一性的相应的几个结论.设亚纯函数f(z)与g(z)的级(或者下级)为有穷的非整数,满足.f=0→g=0,f=1g=1,f=∞9=∞,若∞为f(z)的Borel例外值,则f≡g.以及设f(z)与g(z)为C中非常数的亚纯函数,它们的级λ为有穷且非整数,再设它们满足f=0→g=0,f=1g=1,f=∞g=∞,若δ(∞,f)=1,f(z)为正规增长函数,则f≡g.

Uniqueness Theorems of Meromorphic Functions with Deficient Value

In this paper,we improved some results of M.Ozawa,which gets some theorems on the uniqueness of inconstant meromorphic functions with deficient value.Let f(z) and g(z) be two non-constant meromorphic functions,they orders are limited non integer If f=0 → g=0,f=1(?) g=1,f=∞(?) g=∞,∞be Borel exceptional value of f,or δ(∞,f)=1,and f(z) be nomal growth function then f(z) ≡g(z).