In this paper, we prove that for an algebroid function w(z), the singular direction argz = φ0, satisfying that for arbitrary ε(0 〈 ε 〈 2/π) and any given α ∈ C^^,limr→+∞ log τ/n(τ,φ0-ε,φ0+ε,w=a...In this paper, we prove that for an algebroid function w(z), the singular direction argz = φ0, satisfying that for arbitrary ε(0 〈 ε 〈 2/π) and any given α ∈ C^^,limr→+∞ log τ/n(τ,φ0-ε,φ0+ε,w=a)=+∞ holds with at most; 2v possible exceptional values of a, is the Ncvanlinna direction of w(z).展开更多
基金supported by NSFC (10471048)NSF of Henan Province in China (112300410300)
文摘In this paper, we prove that for an algebroid function w(z), the singular direction argz = φ0, satisfying that for arbitrary ε(0 〈 ε 〈 2/π) and any given α ∈ C^^,limr→+∞ log τ/n(τ,φ0-ε,φ0+ε,w=a)=+∞ holds with at most; 2v possible exceptional values of a, is the Ncvanlinna direction of w(z).