Abstract
Let $\CF$ be a family of functions meromorphic on the plane domain $D$, all of whose zeros are multiple. Suppose that $f^{(k)}(z)\ne1$ for all $f\in \CF$ and $z\in D.$ Then if $\CF$ is quasinormal on $D$, it is quasinormal of order 1 there.
Citation
Shahar Nevo. Xuecheng Pang. "Quasinormality of order 1 for families of meromorphic functions." Kodai Math. J. 27 (2) 152 - 163, June 2004. https://doi.org/10.2996/kmj/1093351322
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