期刊论文详细信息
Proceedings of the Japan Academy, Series A. Mathematical Sciences | |
A note on Hayman’s problem and the sharing value | |
article | |
Yuntong Li1  | |
[1] Department of Basic Courses, Shaanxi Railway Institute | |
关键词: Meromorphic functions; uniqueness theorems; shared value.; | |
DOI : 10.3792/pjaa.90.119 | |
学科分类:数学(综合) | |
来源: Japan Academy | |
【 摘 要 】
Let $f$ be a nonconstant meromorphic functions, $n, k$ be two positive integers. Suppose that $f^{n}$ and $(f^{n})^{(k)}$ share the value $a( \ne 0,\infty )$ CM. If either (1) $n>k+2$, or (2) $n>k+1$ and $\bar{N}(r,f)=\lambda T(r,f)(\lambda \in [0,\frac{1}{2}))$, then $f^{n}=(f^{n})^{(k)}$ and $f$ assumes the form \begin{equation*} f(\mathrm{z}) = \mathrm{ce}^{\frac{λ}{n}z} \end{equation*} where $c$ is a nonzero constant and ${\lambda}^{k}=1$.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300000419ZK.pdf | 72KB | download |