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| Volume 23 • Number 2 • 2000 |
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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].
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