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- W3201990262 abstract "In this paper, we investigate the sharing values problem that entire function $f(z)$ and its first order difference operator $Delta_{eta}f(z)$ share two distinct pairs of finite values IM. We prove: Let $f(z)$ be a non-constant entire function of hyper-order less than $1$, let $eta$ be a non-zero complex number, and let $a$ be a nonzero finite number. Then there exists no such entire function so that $ f(z)$ and $Delta_{eta}f(z)$ share $(0,0)$ and $(a,-a)$ IM. Furthermore, using a result in Wang-Chen-Hu cite{wch}, we obtain some uniqueness results that when $ f(z)$ and $Delta_{eta}f(z)$ share $aneq0$ and $-a$ IM." @default.
- W3201990262 created "2021-10-11" @default.
- W3201990262 creator A5027282115 @default.
- W3201990262 date "2021-07-27" @default.
- W3201990262 modified "2023-09-26" @default.
- W3201990262 title "Uniqueness of entire functions sharing two pairs of values with its difference operator" @default.
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- W3201990262 doi "https://doi.org/10.48550/arxiv.2109.15183" @default.
- W3201990262 hasPublicationYear "2021" @default.
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