Entire functions that share a function with their first and second derivatives

Abstract

Applying the normal family theory and the theory of complex difierential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009). © Instytut Matematyczny PAN, 2012.