Some remarks on unicity of meromorphic functions with their derivatives (Q2712453)

The author based on the results of (i) R. Brück, (ii) G. Jank, E. Mues, L. Volkmann, for entire functions, studies problems of the uniqueness of meromorphic functions that share one value with their derivatives and obtains some results for meromorphic functions. For example: Let \(f\) be a nonconstant meromorphic function. If \(f\) and \(f'\) share a finite non-zero complex number \(a\) IM and \(\overline N(r,{1 \over f'})=S(r,f)\), \(f=a \Leftrightarrow f''=a\), then \(f\equiv f'\).