Abstract
Let D be a plane domain a meromorphic function on D and k a fixed positive integer. Let F be a collection of functions meromorphic on D, none of which have poles in common with φ. According to a result of Schwick (cf. Yang [9]), if each f ∊ F satisfies for z ∊ D then .F is a normal family. We give a very simple proof of this result, based on applying a suitable refinement of Zalcman's Lemma.
| Original language | American English |
|---|---|
| Pages (from-to) | 315-321 |
| Journal | Complex Variables and Elliptic Equations: an international journal |
| Volume | 46 |
| Issue number | 4 |
| State | Published - 2001 |