On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative

Abhijit Banerjee; Sujoy Majumder

Commentationes Mathematicae Universitatis Carolinae (2010)

  • Volume: 51, Issue: 4, page 565-576
  • ISSN: 0010-2628

Abstract

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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].

How to cite

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Banerjee, Abhijit, and 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 51.4 (2010): 565-576. <http://eudml.org/doc/247027>.

@article{Banerjee2010,
abstract = {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].},
author = {Banerjee, Abhijit, Majumder, Sujoy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {meromorphic function; derivative; small function; weighted sharing; meromorphic function; small function; weighted sharing},
language = {eng},
number = {4},
pages = {565-576},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative},
url = {http://eudml.org/doc/247027},
volume = {51},
year = {2010},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 4
SP - 565
EP - 576
AB - 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].
LA - eng
KW - meromorphic function; derivative; small function; weighted sharing; meromorphic function; small function; weighted sharing
UR - http://eudml.org/doc/247027
ER -

References

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