Abstract
Let $\mathcal{F}$ be a family of functions meromorphic on the plane domain $D$, all of whose zeros are multiple. Suppose that $f'(z)\ne 1$ for all $f\in \mathcal{F}$ and $z\in D.$ Then if $\mathcal{F}$ is quasinormal on $D$, it is quasinormal of order 1 there.
Citation
Shahar Nevo. Xuecheng Pang. Lawrence Zalcman. "Quasinormal Families of Meromorphic Functions." Rev. Mat. Iberoamericana 21 (1) 249 - 262, March, 2005.
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