Zheng, Jian-Hua; Wang, Sheng; Huang, Zhi-Gang Some properties of Fatou and Julia sets of transcendental meromorphic functions. (English) Zbl 1002.37022 Bull. Aust. Math. Soc. 66, No. 1, 1-8 (2002). The authors deal with the radial distribution of the Julia sets of transcendental meromorphic functions. Using strong tools of complex function theory they show the non-existence of unbounded Fatou components of transcendental meromorphic functions. Reviewer: Messoud Efendiev (Berlin) Cited in 15 Documents MSC: 37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets 30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable Keywords:radial distribution; Julia sets; transcendental meromorphic functions; unbounded Fatou components PDFBibTeX XMLCite \textit{J.-H. Zheng} et al., Bull. Aust. Math. Soc. 66, No. 1, 1--8 (2002; Zbl 1002.37022) Full Text: DOI References: [1] DOI: 10.2307/1993063 · Zbl 0065.06605 · doi:10.2307/1993063 [2] DOI: 10.1090/S0273-0979-1993-00432-4 · Zbl 0791.30018 · doi:10.1090/S0273-0979-1993-00432-4 [3] DOI: 10.1112/jlms/s1-40.1.499 · Zbl 0136.37804 · doi:10.1112/jlms/s1-40.1.499 [4] DOI: 10.1112/plms/s3-26.3.418 · Zbl 0263.30024 · doi:10.1112/plms/s3-26.3.418 [5] DOI: 10.1006/jmaa.1997.5201 · Zbl 0874.30023 · doi:10.1006/jmaa.1997.5201 [6] DOI: 10.1006/jmaa.2001.7681 · Zbl 0990.30015 · doi:10.1006/jmaa.2001.7681 [7] DOI: 10.2307/1993455 · Zbl 0092.07201 · doi:10.2307/1993455 [8] Qiao, Acta Math. Sinica 37 pp 702– (1994) [9] Zhang, Theory of entire and meromorphic functions (1986) [10] DOI: 10.2307/2371538 · Zbl 0025.04601 · doi:10.2307/2371538 [11] Hayman, Meromorphic functions (1964) [12] Gol’dberg, Izv. Vyssh. Uchebn. Zaved. Mat. 31 pp 26– (1987) [13] DOI: 10.1017/S0305004199004144 · Zbl 0961.30017 · doi:10.1017/S0305004199004144 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.