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.
|Number of pages||11|
|Journal||Journal of Mathematical Analysis and Applications|
|State||Published - 15 Apr 2003|
Bibliographical noteFunding Information:
* Corresponding author. E-mail addresses: firstname.lastname@example.org (M. Fang), email@example.com (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.
- Entire function
- Normal family