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Title: On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative (English)
Author: Banerjee, Abhijit
Author: Majumder, Sujoy
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 51
Issue: 4
Year: 2010
Pages: 565-576
Summary lang: English
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Category: math
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Summary: 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]. (English)
Keyword: meromorphic function
Keyword: derivative
Keyword: small function
Keyword: weighted sharing
MSC: 30D35
idZBL: Zbl 1224.30152
idMR: MR2858261
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Date available: 2010-11-30T16:17:21Z
Last updated: 2013-09-22
Stable URL: http://hdl.handle.net/10338.dmlcz/140838
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