Families of baker domains II

Conformal Geometry and Dynamics

Volumn 3, Issue 5, 1999, Pages 67-78

  Rippon, P J ^a   Stallard, G M ^a  

^a OPEN UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009820844     PISSN: None     EISSN: 10884173     Source Type: Journal    
DOI: 10.1090/S1088-4173-99-00045-4     Document Type: Article

References (16)

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2. I. N. Baker and J. Weinreich, Boundaries which arise in the iteration of entire functions. Rev. Roumaine Math. Pures Appl., 36 (1991), 413-420. MR 93e:30056
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7. L. Carleson and T. W. Gamelin, Complex Dynamics, Springer, 1993. MR 94h:30033
8. P. Dominguez, Dynamics of transcendental meromorphic functions, Ann. Acad. Sci. Fenn. Math., (1) 23 (1998), 225-250. MR 99b:30031
9. P. Dominguez and I. N. Baker, Boundaries of unbounded Fatou components of entire functions, To appear in Ann. Acad. Sci. Fenn. Math.
10. A. E. Erememko and M. Yu. Lyubich, Examples of entire functions with pathological dynamics, J. London Math. Soc., (2) 36 (1987), 458-468. MR 89e:30047
11. P. Fatou, Sur l’itération des fonctions transcendantes entieres, Acta. Math. France, 47 (1926), 337-360.
12. D. Gaier, Lectures on Complex Approximation, Birkhäuser, 1985.
13. M. Herman, Are there critical points on the boundary of singular domains? Comm. Math. Phys., 99 (1985), 593-612. MR 86j:58067
14. C. Pommerenke, On the iteration of analytic functions in a halfplane, I, J. London Math. Soc. (2), 19 (1979), 439-447. MR 83j:30023
15. P. J. Rippon and G. M. Stallard, Families of Baker domains, I. To appear in Nonlinearity.
16. P. J. Rippon and G. M. Stallard, On sets where iterates of a meromorphic function zip towards infinity. Preprint.