Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (2): 367-375.

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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)

Abstract:

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.

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

CLC Number: 

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