| 摘要: |
| 讨论fPn[f(k)]的值分布问题,其中f为超越亚纯函数,证明了在适当条件下fPn[f(k)]取任意非零有穷复数无穷多次. |
| 关键词: 亚纯函数 微分多项式 值分布 |
| DOI: |
| 投稿时间:2011-01-07 |
| 基金项目:广西自然科学基金项目(桂科自0728041)资助 |
|
| On Zero of fPn[f(k)]-c |
|
ZHANG Yi1, XIONG Wei-ling2
|
| (1.Liuzhou City Vocational College, Liuzhou, Guangxi, 545002, China;2.Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou, Guangxi, 545006, China) |
| Abstract: |
| Let f is a transcendental meromorphic function, the value distribution of fPn[f(k)] is discussed.It is proved that fPn[f(k)] takes any finite non-zero complex number infinity under appropriate conditions. |
| Key words: meromorphic function differential polynomials value distribution |