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| Let $\\mathcal{F}$ be a family of meromorphic functions in a domain
$D$, and let $k$, $n(\\geq 2)$ be two positive integers, and let
$S=\\{a_1, a_2,..., a_n\\}$, where $a_1, a_2,..., a_n$ are distinct
finite complex numbers. If for each $f\\in\\mathcal{F}$, all zeros of
$f$ have multiplicity at least $k+1$, and $f$ and $G(f)$ share the
set $S$ in $D$, where $G(f)=P(f^{(k)})+H(f)$ is a differential
polynomial of $f$, then $\\mathcal{F}$ is normal in $D$. |
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| Keywords:Meromorphic functions;Nevanlinna theory;Normal family;Sharing values |
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