Normal families and uniqueness theorems for entire functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:280

Article

Fang, ML ; Zalcman, L

关键词: entire function;    derivative;    unicity;    normal family;   

DOI  :  10.1016/S0022-247X(03)00041-6

来源: Elsevier

【 摘 要 】

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 equivalent to f '. The number 3 is best possible. The proof uses the theory of normal families in an essential way. (C) 2003 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free