ON NEVANLINNA DIRECTIONS OF ALGEBROI

ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS

In this paper, a notation δx(ω) is derived from the counting function Nx(r,ω)of branch points of algebriod functions. With this notation, the authors give the definition of the Nevanlinna direction for algebriod functions and discuss its existence in certain condition. By this notation the authors also obtain the numbers of exceptional value of the Julia direction and Borel direction of algebriod functions are not more than 2+[δx (ω)],here [x] implies an maximum integer number which does not exceed x.

作 者： Lu Qian Gu Yongxing   作者單位： Lu Qian(College of Sciences,Southwest University of Science and Technology,Mianyang 621010,China;College of Mathematic Sciences,Sichuan University,Chengdu 610064,China)

Gu Yongxing(College of Mathematics and Sciences,Chongqing University,Chongqing 400044,China) 

刊 名： 數(shù)學(xué)物理學(xué)報（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(2)  分類號：   關(guān)鍵詞： Algebriod functions   deficient relations   Nevanlinna directions  

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