Entire functions that share a function with their first and second derivatives
Tom 104 / 2012
Annales Polonici Mathematici 104 (2012), 81-96
MSC: Primary 30D35; Secondary 30D45.
DOI: 10.4064/ap104-1-6
Streszczenie
Applying the normal family theory and the theory of complex differential 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).