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Some
Results on Normal Family of Meromorphic Functions Ming-Liang Fang and Wei
Hong Abstract.In this paper, we study the normality
of a family of meromorphic functions and prove the following
theorem: Let F be a family of meromorphic functions
in a domain D, k,
be two positive integers, and
be a differential polynomial of f and .
If the zeros of
are of multiplicity
and
for each
then F is normal in D. This result is related
to a problem of Hayman [5].
be two positive integers, and 
be a differential polynomial of 
.
If the zeros of 
are of multiplicity 
and 
for each 
then