Displaying similar documents to “Dynamics of entire maps”

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

Feng Lü, Junfeng Xu (2012)

Annales Polonici Mathematici

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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).

Entire functions that share values or small functions with their derivatives

Sheng Li, Zongsheng Gao, Jilong Zhang (2012)

Annales Polonici Mathematici

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We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.

Dynamical behavior of two permutable entire functions

Kin-Keung Poon, Chung-Chun Yang (1998)

Annales Polonici Mathematici

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We show that two permutable transcendental entire functions may have different dynamical properties, which is very different from the rational functions case.