Abstract
There exists a set S with 3 elements such that if f is a non-constant entire function satisfying E(S, f) = E(S, f′), then f ≡ f′. The number 3 is best possible. The proof uses the theory of normal families in an essential way.
| Original language | English |
|---|---|
| Pages (from-to) | 273-283 |
| Number of pages | 11 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 280 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Apr 2003 |
Bibliographical note
Funding Information:* Corresponding author. E-mail addresses: [email protected] (M. Fang), [email protected] (L. Zalcman). 1 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. 2 Research supported by the German–Israeli Foundation for Scientific Research and Development, GIF Grant No. G-643-117.6/1999.
Funding
* Corresponding author. E-mail addresses: [email protected] (M. Fang), [email protected] (L. Zalcman). 1 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. 2 Research supported by the German–Israeli Foundation for Scientific Research and Development, GIF Grant No. G-643-117.6/1999.
| Funders | Funder number |
|---|---|
| Fred and Barbara Kort Sino–Israel Post Doctoral Fellowship Program at Bar-Ilan University | |
| German-Israeli Foundation for Scientific Research and Development | G-643-117.6/1999 |
| National Natural Science Foundation of China | 10071038 |
Keywords
- Derivative
- Entire function
- Normal family
- Unicity