Abstract
Let 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 ∈ ℱ, f′ (z) ≠ h(z) for z ∈ D, then ℱ is normal on D.
| Original language | English |
|---|---|
| Pages (from-to) | 223-235 |
| Number of pages | 13 |
| Journal | Indiana University Mathematics Journal |
| Volume | 54 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2005 |
Keywords
- Normal families
- Omitted functions