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].
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
Keywords: meromorphic function; derivative; small function; weighted sharing
@article{CMUC_2010_51_4_a2,
author = {Banerjee, Abhijit and Majumder, Sujoy},
title = {On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {565--576},
year = {2010},
volume = {51},
number = {4},
mrnumber = {2858261},
zbl = {1224.30152},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2010_51_4_a2/}
}
TY - JOUR AU - Banerjee, Abhijit AU - Majumder, Sujoy TI - On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative JO - Commentationes Mathematicae Universitatis Carolinae PY - 2010 SP - 565 EP - 576 VL - 51 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_2010_51_4_a2/ LA - en ID - CMUC_2010_51_4_a2 ER -
%0 Journal Article %A Banerjee, Abhijit %A Majumder, Sujoy %T On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative %J Commentationes Mathematicae Universitatis Carolinae %D 2010 %P 565-576 %V 51 %N 4 %U http://geodesic.mathdoc.fr/item/CMUC_2010_51_4_a2/ %G en %F CMUC_2010_51_4_a2
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/