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Iterates of Meromorphic Functions IV: Critically Finite Functions

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References

  1. L. Ahlfors and L. Bers, Riemann’s mapping theorem for variable metrics, Ann. of Math. 72 (1960) 385–404.

    Article  MathSciNet  MATH  Google Scholar 

  2. I.N. Baker, Wandering domains in the iteration of entire functions. Proc. London Math. Soc. (3) 49 (1984) 563–576.

    Article  MathSciNet  MATH  Google Scholar 

  3. I.N. Baker, Wandering domains for maps of the punctured plane, Ann. Acad. Sci. Fenn. Ser. AI Math. 12 (1987) 191–198.

    MATH  Google Scholar 

  4. I.N. Baker, J. Kotus and Lü Yinian, Iterates of meromorphic functions I, Ergod. Theory Dynam. Systems 11 (1991) 241–248.

    MathSciNet  MATH  Google Scholar 

  5. I.N. Baker, J. Kotus and Lü Yinian, Iterates of meromorphic functions II, J. London Math. Soc. (2) 42 (1990) 267–278.

    Article  MathSciNet  MATH  Google Scholar 

  6. I.N. Baker, J. Kotus and Lü YINIAN, Iterates of meromorphic functions III, Ergod. Theory Dynam. Systems 11 (1991) 603–618.

    MathSciNet  MATH  Google Scholar 

  7. A. Eremenko and M. YU Lyubich, Iteration of entire functions, preprint 6, Physicotechnical Institute for Low Temperatures, Ukr. SSR Academy of Sciences, Kharkov, 1984 (Russian).

    Google Scholar 

  8. P. Fatou, Sur les équations fonctionelles. Bull. Soc. Math. France, 47 (1919) 161–271; 48 (1920) 33–94, 208–314.

    MathSciNet  MATH  Google Scholar 

  9. P. Fatou, Sur l’itération des fonctions transcendantes entières, Acta Math., 47 (1926) 337–370.

    Article  MathSciNet  MATH  Google Scholar 

  10. L. Goldberg and L. Keen, A finiteness theorem for a dynamical class of entire functions, Ergod. Theory Dynam. Systems 6 (1986) 183–192.

    MathSciNet  MATH  Google Scholar 

  11. L. Keen, Dynamics of holomorphic self-maps of C. Holomorphic Functions and Moduli I. MSRI Publications 10, Springer, N.Y. (1988).

    Google Scholar 

  12. J. Kotus, Iterated holomorphic map of the punctured plane. Lect. Notes Math. Syst. & Ec. 287 (1987) 10–29.

    MathSciNet  Google Scholar 

  13. R. Nevanlinna, Eindeutige analytische Funktionen. Springer 1953.

  14. D. Sullivan, Quasiconformal homeomorphisms and dynamics I. Ann. of Math. 122 (1985) 401–418.

    Article  MathSciNet  MATH  Google Scholar 

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Baker, I.N., Kotus, J. & Yinian, L. Iterates of Meromorphic Functions IV: Critically Finite Functions. Results. Math. 22, 651–656 (1992). https://doi.org/10.1007/BF03323112

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