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

Commentationes mathematicae Universitatis Carolinae

Abhijit Banerjee¹ 

关键词: meromorphic function;    derivative;    small function;    weighted sharing;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

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-L\"u [Complex Var.\ Elliptic Equ.\ {\bf 53} (2008), no.~9, 857--867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math.~J.\ {\bf 50} (2010), no.~1, 71--80] dealing with a question posed by T.D.~Zhang and W.R.~L\"u in [Complex Var.\ Elliptic Equ.\ {\bf 53} (2008), no.~9, 857--867].

【 授权许可】

CC BY