J. Aust. Math. Soc.
78 (2005), 1726  
On the value distribution of
 
 
Abstract  
In this paper, we prove that for a
transcendental meromorphic function
on the complex plane, the inequality
holds, where
is a positive integer. Moreover, we prove the
following normality criterion: Let
be a family of meromorphic functions on a domain
and let be a positive integer. If for each
, all zeros of
are of multiplicity at
least , and
for , then
is normal in the domain
. At the same time we also show that the
condition on multiple zeros of
in the normality criterion is necessary.
 
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