Normal Families and Uniqueness of Entire Functions and Their Derivatives
โ Scribed by Jiang Ming Chang; Ming Liang Fang
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2006
- Tongue
- English
- Weight
- 204 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper studies uniqueness problems on entire functions that share a finite nonzero value counting multiplicities with their derivatives and gives a proper ลฝ answer to the problem proposed by L. Z. Yang ''Proceedings of the 6th Interna-. tional Colloquium on Complex Analysis, 1998,'' pp. 176แ183
In this paper, we study the uniqueness of entire functions and prove the following theorem. Let f(z) and g(z) be two nonconstant entire functions, n, k two positive integers with n > 2k d-4. If [fn(z)](k) and [gn(z)](k) share 1 with counting the multiplicity, then either f(z) = Cl ecz, g(z) = c2e -c