Abstract
Let $\varphi(z)(\not\equiv0)$ be a function holomorphic in a domain $D$, $k\in\mathbb{N}$, and let $\mathcal{F}$ be a family of meromorphic functions defined in $D$, all of whose zeros have multiplicity at least $k+2$ such that, for every $f\in\mathcal{F}$, $f^{(k)}(z)\neq\varphi(z)$. The non-normal sequences in $\mathcal{F}$ are characterized.
Citation
Chunnuan Cheng. Yan Xu. "Normality concerning exceptional functions." Rocky Mountain J. Math. 45 (1) 157 - 168, 2015. https://doi.org/10.1216/RMJ-2015-45-1-157
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