Geodesic
On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 565-576.

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In the paper we discuss the uniqueness of the $n$-th power of a meromorphic function sharing a small function with the power of its $k$-th derivative and improve and supplement a result of Zhang-Lü [Complex Var. Elliptic Equ. {53} (2008), no. 9, 857--867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math. J. {50} (2010), no. 1, 71--80] dealing with a question posed by T.D. Zhang and W.R. Lü in [Complex Var. Elliptic Equ. {53} (2008), no. 9, 857--867].
Classification : 30D35
Keywords: meromorphic function; derivative; small function; weighted sharing 
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Banerjee, Abhijit; Majumder, Sujoy. On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 565-576. http://geodesic.mathdoc.fr/item/CMUC_2010__51_4_a2/