IUMJ

Title: Normal families and omitted functions

Authors: Xuecheng Pang, Degui Yang and Lawrence Zalcman

Issue: Volume 54 (2005), Issue 1, 223-236

Abstract:

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 $D$.