Abstract
Let f be a nonconstant meromorphic function. The sequence of the iterates of f is denoted by
The first author’s research was supported in part by NSFC and NSF of Jiangsu province, China
The work of third author was partially supported by a UGC grant of Hong Kong.
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References
Baker, I. N., Wandering domains in the iteration of entire functions, Proc. London Math. Soc.(3)49(1984), 563–576.
Bergweiler, W., Iteration of meromorphic functions, Bull. Amer. Math. Soc. 29 (1993), 151–188.
Bergweiler, W., On the Julia set of analytic self-maps of the punctured plane, Analysis15 (1995), 252–256.
Bergweiler W. and Hinkkanen A., On semiconjugation of entire functions, Math. Proc. Camb. Phil. Soc. 126 (1999), 565–574.
Eremenko, A.E., M.Yu., On the iteration of entire functions, Dynamical Systems and Ergodic Theory, Banach Center Publ., Vol. 23, Polish Scientific Publishers, Warsaw 1989, 339–345.
Eremenko, A.E. and Lyubich, M.Yu.: Dynamical properties of some classes of entire functions, Ann. Inst. Fourier 42 (1992), 989–1020.
Fatou, P., Sur les équations fonctionelles, Bull. Soc. Math. France 47(1919), 161–271; 48(1920), 33–94 and 208–314.
Fatou, P., Sur l’ itération des fonctions transcendentes entières, Acta Math. 47 (1926), 337–370.
Herman, M., Exemples de fractions rationelles ayant une orbite dense sur la sphere de Riemann, Bull. Soc. France 112 (1984), 93–142.
Hua X.,H. and Wang X.L., Dynamics of permutable transcendental entire functions, Proc. Int. Conf. at Vietnam 1998.
Hua X.,H. and Wang X.L., Complex dynamics concerning functional equations, Preprint.
Hua X.H. and Yang C.C., Dynamics of Transcendental Functions, Gordon and Breach Science Publishers 1998.
Hua X.H. and Yang C.C., Dynamics of permutable functions, Preprint.
Julia, G., Mémoire sur l’ iteration des fractions rationnelles, J. Math. Pures Appl., (8)1(1918), 47–245.
Langley J.K., Permutable entire functions and Baker domains, Math. Proc. Camb. Phil. Soc. 125 (1999), 119–121.
Poon, K.K. and Yang, C.C. Fatou sets of two permutable entire functions, Preprint.
Ren, F.Y. and Li, W.S., An affirmative answer to a problem of Baker, J. Fudan Univ. 36 (1997), 231–233.
Wang X.L. and Hua X.H., Dynamics concerning functional equations, Preprint.
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Hua, X., Wang, X., Yang, CC. (2000). Dynamics of Transcendental Functions. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_37
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DOI: https://doi.org/10.1007/978-1-4613-0269-8_37
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