ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS

数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (2): 367-375.

ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS

卢谦,顾永兴

College of Mathematics and Sciences, Chongqing University, Chongqing 400044, China
College of Sciences, Southwest University of Science and Technology, Mianyang 621010, China
College of Mathematic Sciences, Sichuan University, Chengdu 610064, China

出版日期:2005-04-20 发布日期:2005-04-20
基金资助:
Supported by the Natioal Natural Science Foundation of China (10271122)

ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS

LEI Qian, GU Yong-Xin

Online:2005-04-20 Published:2005-04-20
Supported by:
Supported by the Natioal Natural Science Foundation of China (10271122)

摘要/Abstract

摘要：

In this paper, a notation (!) is derived from the counting function N(r,!)
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+[(!)],
here [x] implies an maximum integer number which does not exceed x.

Abstract:

Key words: Algebriod functions;deficient relations,;Nevanlinna directions

中图分类号:

卢谦, 顾永兴. ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS[J]. 数学物理学报(英文版), 2005, 25(2): 367-375.

LEI Qian, GU Yong-Xin. ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS[J]. Acta mathematica scientia,Series B, 2005, 25(2): 367-375.

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ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS

ON NEVANLINNA DIRECTIONS OF ALGEBROID FUNCTIONS

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