ON THE NEVANLINNA DIRECTION OF ALGEBROID FUNCTIONS

来源 :数学物理学报(英文版) | 被引量 : 0次 | 上传用户:ricky1281214
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In this paper,we prove that for an algebroid function w(z),the singular direction arg z =(φ)0,satisfying that for arbitrary ε(0 < ε < π/2) and any given a ∈(C),/lim n(r,(φ)0-ε,(φ)0+ε,w=a)/log r=+∞ holds with at most 2v possible exceptional values of a,is /lim r→+∞ n(r,(φ)0-ε,(φ)0+w=a)/log r=+∞ holds with at most 2v possible exceptional values of a,is the Nevanlinna direction of w(z).
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