ON THE SHARING VALUES OF ALGEBROID FUNCTIONS AND THEIR DERIVATIVES |
| |
| Authors: | Huifang LIU Daochun SUN |
| |
| Affiliation: | 1. Institute of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China
2. School of Mathematics, South China Normal University, Guangzhou 510631, China |
| |
| Abstract: | In this paper, we define the shared value of an algebroid function and its derivative on its Riemann surface. By considering the relationship between the shared values and the branch points of algebroid functions and their derivatives, we obtain some uniqueness theorems of algebroid functions sharing values with their derivatives, which extend 3 IM shared values theorem of nonconstant meromorphic functions and their derivatives obtained by Mues-Steinmetz and Gundersen. |
| |
| Keywords: | algebroid function function element shared value uniqueness |
| 本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录！ |
|
