Wu Pengcheng
This paper proves the following result:Let
f(z) be a meromorphic function in the
z-plane with a deficient value, and δ(
θ k )(
k=1,2, ...,
q;0≤
θ1<θ
2<...<
θ q<
θq+1=
θ1+2
π) be
q rays (1≤
q<∞) starting at the origin, and let
n≥3 be an integer such that for any given positive number
ε,0<
ε<
π/2,
where
Ν is a constant independent of
ε. If
Μ<∞, then we have
where
Μ and
λ denote the lower order and order of
f(z), respectively,
Ω=min
θk+1-θ
k;1≤
k≤q, and
n(E, f=a) is the number of zeros of
f(z)-a in
E with multiple zeros being counted with their multiplicities.