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| Meromorphic Function Sharing Sets with Its Difference Operator or Shifts |
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Citation： |
Bingmao DENG,Chunlin LEI,Mingliang FANG.Meromorphic Function Sharing Sets with Its Difference Operator or Shifts[J].Chinese Annals of Mathematics B,2019,40(3):331~338 |
| Page view： 872
Net amount： 715 |
Authors： |
Bingmao DENG; Chunlin LEI;Mingliang FANG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11701188). |
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| Abstract： |
Let $f$ be a nonconstant meromorphic function, $c \in \Bbb{C}$, and
let $a(z)(\not\equiv 0)\in S(f)$ be a meromorphic function. If $f
(z)$ and $P(z, f(z))$ share the sets $\{a(z),-a(z)\}$, $\{0\}$ CM
almost and share $\{\infty\}$ IM almost, where $P(z, f(z))$ is
defined as (1.1), then $f(z)\equiv \pm P(z,f(z))$ or $f(z)P(z,
f(z))\equiv \pm a^{2}(z)$. This extends the results due to Chen and
Chen (2013), Liu (2009) and Yi (1987). |
Keywords： |
Meromorphic function, Difference operator, Shared sets |
Classification： |
30D35 |
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