Abstract
Let k be a positive integer and b a nonzero constant. Suppose that ℱ is a family of meromorphic functions in a domain D. If each function f ∈ ℱ has only zeros of multiplicity at least k + 2 and for any two functions f, g ∈ ℱ and g share 0 in D and f(k) and g(k) share b in D, then ℱ is normal in D. The case f ≠ 0, f(k) ≠ b is a celebrated result of Gu.
| Original language | English |
|---|---|
| Pages (from-to) | 141-150 |
| Number of pages | 10 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 76 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2004 |
Bibliographical note
Funding Information:The first author was supported by the NNSF of China (Grant No. 10071038) and by the Fred and Barbara Kort Sino-Israel Post Doctoral Fellowship Program at Bar-Ilan University. The second author was supported by the German-Israeli Foundation for Scientific Research and Development, G.I.F. Grant No. G-643-117.6/1999. © 2004 Australian Mathematical Society 1446-7887/04 $A2.00 + 0.00
Keywords
- Meromorphic function
- Normality
- Shared value