Abstract

Using the notion of weakly weighted sharing we prove two uniqueness theorems concerning meromorphic functions sharing a small function with their derivatives, the first of which will improve all the results recently obtained by Lin-Lin [7] and thus provide a better answer to the questions posed by Yu [11] in this regard. Also with the aid of a recently introduced sharing notion in [1] known as relaxed weighted sharing we supplement one recent result of Lin-Lin~[7].

Keywords: Meromorphic function; derivative; small function; weakly weighted sharing.

MSC: 30D35

Pages:  121--135     

Volume  60 ,  Issue  2 ,  2008