Uniqueness of meromorphic functions sharing a small function with their derivatives

Abstract

Using the notion of weakly weighted sharing weprove two uniqueness theorems concerning meromorphic functionssharing a small function with their derivatives, the first ofwhich 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 introducedsharing notion in [1] known as relaxed weighted sharing wesupplement one recent result of Lin-Lin~[7].