The generalized Picard theorem [4] asserts that any non-constant holomorphic map
f of
C into
Pn(
C) misses at most 2
n hyperplanes in
Pn(
C) in general position. In this paper we shall prove that for a transcendental holomorphic map
f of
C into
Pn(
C) with an asymptotic value in
Pn(
C), there exists a ray
J(θ)={
z=
re√{−1}θ : 0<
r<+∞} such that
f, in any open sector with vertex
z=0 containing the ray
J(θ), misses at most 2
n hyperplanes in
Pn(
C) in general position.
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