ON THE NEVANLINNA DIRECTION OF ALGEBROID FUNCTIONS

ON THE NEVANLINNA DIRECTION OF ALGEBROID

FUNCTIONS

Zhang Hongshen;Sun Daochun

【期刊名称】《数学物理学报（英文版）》 【年(卷),期】2012(032)004

【摘要】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). 【总页数】8页(1441-1448) 【关键词】

【作者】Zhang Hongshen;Sun Daochun

【作者单位】Department of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China;School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China 【正文语种】中文 【中图分类】 【相关文献】

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