On the uniqueness of meromorphic function and its shift sharing values with truncated multiplicities
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In this paper, we deal with unicity of a nonconstant zero-order meromorphic function $f(z)$ and its shift $f(qz)$ when they share four distinct values $IM$ or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where $q\in\mathbb C\setminus\{0\}$. We also give an uniqueness result for $f(z)$ sharing sets with its shift.
Abstract
In this paper, we deal with unicity of a nonconstant zero-order meromorphic function $f(z)$ and its shift $f(qz)$ when they share four distinct values $IM$ or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where $q\in\mathbb C\setminus\{0\}$. We also give an uniqueness result for $f(z)$ sharing sets with its shift.
참고문헌 (14)
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