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Some properties of Fatou and Julia sets of transcendental meromorphic functions
Published online by Cambridge University Press: 17 April 2009
Abstract
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The radial distribution of Julia sets and non-existence of unbounded Fatou components of transcendental meromorphic functions are investigated in this paper.
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- Copyright © Australian Mathematical Society 2002
References
[1]Baernstein, A., ‘Proof of Edrei's spread conjecture’, Proc. London Math. Soc. 26 (1973), 418–434.Google Scholar
[2]Baker, I.N., ‘Sets of non-normality in iteration theory’, J. London Math. Soc. 40 (1965), 499–502.Google Scholar
[3]Bergweiler, W., ‘Iteration of meromorphic functions’, Bull. Amer. Math. Soc. 29 (1993), 151–188.CrossRefGoogle Scholar
[4]Edrei, A., ‘Meromorphic functions with three radially distributed values’, Trans. Amer. Math. Soc. 78 (1955), 276–293.Google Scholar
[5]Edrei, A. and Fuchs, W.H.J., ‘Meromorphic functions with several deficient values’, Trans. Amer. Math. Soc. 93 (1959), 292–328.Google Scholar
[6]Gol'dberg, A.A. and Sokolovskaya, O.P., ‘Some relations for meromorphic functions of order or lower order less than one’, Izv. Vyssh. Uchebn. Zaved. Mat. 31 (1987), 26–31. Translation: Soviet Math. (Iz. VUZ) 31 (1987), 29–35.Google Scholar
[7]Hayman, W.K., Meromorphic functions, Oxford Mathematical Monographs (Clarendon Press, Oxford, 1964).Google Scholar
[8]Heins, M.H., ‘On the iteration of functions which are analytic and single-valued in a given multiply-connected region’, Amer. J. Math. 63 (1957), 461–480.CrossRefGoogle Scholar
[9]Qiao, J., ‘Stable domains in the iteration of entire functions’, (Chinese), Acta Math. Sinica 37 (1994), 702–708.Google Scholar
[10]Zhang, G.H., Theory of entire and meromorphic functions, (Chinese) (Science Press Sinica, 1986).Google Scholar
[11]Zheng, J.H., ‘Unbounded domains of normality of entire functions of small growth’, Math. Proc. Cambridge Philos. Soc. 128 (2000), 355–361.Google Scholar
[12]Zheng, J.H., ‘On non-existence of unbounded domains of normality of meromorphic functions’, J. Math. Anal. Appl. 264 (2001), 479–494.Google Scholar
[13]Zheng, J.H., ‘On the growth of meromorphic functions with two radially distributed values’, J. Math. Anal. Appl. 206 (1997), 140–154.Google Scholar
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