Abstract
Let f be a nonconstant entire function and let S = {a, b, c}, where a, b and c are distinct complex numbers. If E(S, f) = E(S, f'), then either (i) f = Ce z ; or (ii) f(z) = Ce z (a+b+c), (2a-b-c)(2b-c-a)(2c-a-b) = 0; or (iii) f(z) = Ce (a+b+c), 2 +c 2 -ab-bc-ca = 0, where C is a nonzero constant.
| Original language | English |
|---|---|
| Pages (from-to) | 561-569 |
| Number of pages | 9 |
| Journal | Archiv der Mathematik |
| Volume | 89 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2007 |
Bibliographical note
Funding Information:1Research suported by the NNSF of China (Grant No. 10471065). 2Research suported by the NNSF of China (Grant No. 10671093). 3Research supported by the German-Israeli Foundation for Scientific Research and Development, Grant G-809-234.6/2003. 4Research supported by the Fred and Barbara Kort Sino-Israel Post Doctoral Fellowship Program at Bar-Ilan University.
Funding
1Research suported by the NNSF of China (Grant No. 10471065). 2Research suported by the NNSF of China (Grant No. 10671093). 3Research supported by the German-Israeli Foundation for Scientific Research and Development, Grant G-809-234.6/2003. 4Research supported by the Fred and Barbara Kort Sino-Israel Post Doctoral Fellowship Program at Bar-Ilan University.
| 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-809-234.6/2003 |
| National Natural Science Foundation of China | 10671093, 10471065 |
Keywords
- Entire functions
- Uniqueness theorem