| Uniqueness of Entire Function Related to Shared Set |
| Received:May 04, 2010 Revised:July 12, 2010 |
| Key Words:
entire function normality uniqueness shared set derivative.
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| Fund Project:Supported by the Natural Science Foundation of Anhui Province (Grant No.KJ2010B124). |
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| Abstract: |
| In this paper, uniqueness of entire function related to shared set is studied. Let $f$ be a non-constant entire function and $k$ be a positive integer, $d$ be a finite complex number. There exists a set $S$ with 3 elements such that if $f$ and its derivative $f^{(k)}$ satisfy $E(S,f)=E(S,f^{(k)})$, and the zeros of $f(z)-d$ are of multiplicity $\geq k 1$, then $f=f^{(k)}$. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.06.008 |
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