Results in Mathematics

November 1992, Volume 22, Issue 3–4, pp 651–656 | Cite as

Iterates of Meromorphic Functions IV: Critically Finite Functions

• Authors
• Authors and affiliations

• I. N. Baker
• J. Kotus
• Lü Yinian

Article

First Online: 25 April 2013

• 13 Downloads
• 35 Citations

Keywords

Quasiconformal Homeomorphism Analytic Jordan Curve Puncture Plane Unbranched Covering Quasi Conformal Homeomorphism 

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

References

1. 1.
   L. Ahlfors and L. Bers, Riemann’s mapping theorem for variable metrics, Ann. of Math. 72 (1960) 385–404.MathSciNetzbMATHCrossRefGoogle Scholar
2. 2.
   I.N. Baker, Wandering domains in the iteration of entire functions. Proc. London Math. Soc. (3) 49 (1984) 563–576.MathSciNetzbMATHCrossRefGoogle Scholar
3. 3.
   I.N. Baker, Wandering domains for maps of the punctured plane, Ann. Acad. Sci. Fenn. Ser. AI Math. 12 (1987) 191–198.zbMATHGoogle Scholar
4. 4.
   I.N. Baker, J. Kotus and Lü Yinian, Iterates of meromorphic functions I, Ergod. Theory Dynam. Systems 11 (1991) 241–248.MathSciNetzbMATHGoogle Scholar
5. 5.
   I.N. Baker, J. Kotus and Lü Yinian, Iterates of meromorphic functions II, J. London Math. Soc. (2) 42 (1990) 267–278.MathSciNetzbMATHCrossRefGoogle Scholar
6. 6.
   I.N. Baker, J. Kotus and Lü YINIAN, Iterates of meromorphic functions III, Ergod. Theory Dynam. Systems 11 (1991) 603–618.MathSciNetzbMATHGoogle Scholar
7. 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. 8.
   P. Fatou, Sur les équations fonctionelles. Bull. Soc. Math. France, 47 (1919) 161–271; 48 (1920) 33–94, 208–314.MathSciNetzbMATHGoogle Scholar
9. 9.
   P. Fatou, Sur l’itération des fonctions transcendantes entières, Acta Math., 47 (1926) 337–370.MathSciNetzbMATHCrossRefGoogle Scholar
10. 10.
    L. Goldberg and L. Keen, A finiteness theorem for a dynamical class of entire functions, Ergod. Theory Dynam. Systems 6 (1986) 183–192.MathSciNetzbMATHGoogle Scholar
11. 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. 12.
    J. Kotus, Iterated holomorphic map of the punctured plane. Lect. Notes Math. Syst. & Ec. 287 (1987) 10–29.MathSciNetGoogle Scholar
13. 13.
    R. Nevanlinna, Eindeutige analytische Funktionen. Springer 1953.Google Scholar
14. 14.
    D. Sullivan, Quasiconformal homeomorphisms and dynamics I. Ann. of Math. 122 (1985) 401–418.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Birkhäuser Verlag, Basel 1992

Authors and Affiliations

• I. N. Baker
  • 1
• J. Kotus
  • 2
• Lü Yinian
  • 3

1. 1.Department of MathematicsImperial CollegeLondonGreat Britain
2. 2.Institute of MathematicsTechnical Univ. of WarsawWarsawPoland
3. 3.Institute of MathematicsAcademia SinicaBeijingChina