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