摘要
This paper proves the following result:Let f(z) be a meromorphic function in the x-plane with a deficient value,and Δ(θ<sub>k</sub>)(k=1,2,...,q;0(?)θ<sub>1</sub>【θ<sub>2</sub>【...【θ<sub>q</sub>【θ<sub>q+1</sub>=θ<sub>1</sub>+2π) be q rays (1(?)q【∞) starting at the origin,and let n(?)3 be an integer such that for any given positive number ε,0【ε【π/2, (?) where v is a constant independent of ε.If μ【∞,then we have λ(?)π/ω+v, where μ and λ denote the lower order and order of f(z),respectively,ω=min{θ<sub>k+1</sub>-θ<sub>k</sub>;1(?)k(?)q}, and n(E,f=a) is the number of zeros of f(z)-a in E with multiple zeros being counted with their multiplicities.
This paper proves the following result:Let f(z) be a meromorphic function in the x-plane with a deficient value,and Δ(θ<sub>k</sub>)(k=1,2,...,q;0(?)θ<sub>1</sub><θ<sub>2</sub><...<θ<sub>q</sub><θ<sub>q+1</sub>=θ<sub>1</sub>+2π) be q rays (1(?)q<∞) starting at the origin,and let n(?)3 be an integer such that for any given positive number ε,0<ε<π/2, (?) where v is a constant independent of ε.If μ<∞,then we have λ(?)π/ω+v, where μ and λ denote the lower order and order of f(z),respectively,ω=min{θ<sub>k+1</sub>-θ<sub>k</sub>;1(?)k(?)q}, and n(E,f=a) is the number of zeros of f(z)-a in E with multiple zeros being counted with their multiplicities.