Abstract
Let k ≥ 2 be an integer and let ℱ be a family of functions meromorphic on a domain D in , all of whose poles are multiple and whose zeros all have multiplicity at least k + 1. Let h be a function meromorphic on D, h ≢ 0, ∞. Suppose that for each f ∈ ℱ, f(k)(z) ≠ h(z) for z ∈ D. Then ℱ is a normal family on D.
| Original language | English |
|---|---|
| Pages (from-to) | 63-71 |
| Number of pages | 9 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 41 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2009 |
Bibliographical note
Funding Information:X. P. was supported by the NSSF of China Grant No. 10671067, and L. Z. was supported by the German–Israeli Foundation for Scientific Research and Development Grant G-809-234.6/2003 and Israel Science Foundation Grant 395/07.
Funding
X. P. was supported by the NSSF of China Grant No. 10671067, and L. Z. was supported by the German–Israeli Foundation for Scientific Research and Development Grant G-809-234.6/2003 and Israel Science Foundation Grant 395/07.
| Funders | Funder number |
|---|---|
| German-Israeli Foundation for Scientific Research and Development | G-809-234.6/2003 |
| NSSF of China | 10671067 |
| Israel Science Foundation | 395/07 |