ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS |
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Authors: | Lu Qian Gu Yongxing |
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Affiliation: | 1. College of Sciences, Southwest University of Science and Technology, Mianyang 621010, China;2. College of Mathematic Sciences, Sichuan University, Chengdu 610064, China;3. College of Mathematics and Sciences, Chongqing University, Chongqing 400044, China;1. School of Mathematics and Computer, Jiangxi Science and Technology Normal University, Nanchang 330038, China;2. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China |
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Abstract: | 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. |
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Keywords: | Algebriod functions deficient relations Nevanlinna directions |
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