Abstract
In this paper, we prove that for an algebroid function w(z), the singular direction arg z = ϕ0, satisfying that for arbitrary ɛ(0<ɛ<π2) and any given a∈ℂ⌢,lim¯r→+∞n(r,φ0-ɛ,φ0+ɛ,w=a)logr=+∞ holds with at most 2v possible exceptional values of a, is the Nevanlinna direction of w(z).
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