Normal families and omitted functions
Xuecheng PangDegui YangLawrence Zalcman
30D45normal familiesomitted functions
Let $\mathcal{F}$ be a family of meromorphic functions on the plane domain $D$, all of whose zeros and poles are multiple. Let $h$ be a meromorphic function which does not vanish on $D$. If for each $f\in\mathcal{F}$, $f'(z)\not=h(z)$ for $z\in D$, then $\mathcal{F}$ is normal on $D$.
Indiana University Mathematics Journal
2005
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10.1512/iumj.2005.54.2492
10.1512/iumj.2005.54.2492
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Indiana Univ. Math. J. 54 (2005) 223 - 236
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