Families of Baker domains: I

Nonlinearity

Volumn 12, Issue 4, 1999, Pages 1005-1012

  Rippon, P J ^a   Stallard, G M ^a  

^a OPEN UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033163964     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/4/316     Document Type: Article

References (13)

1. Baker I N 1984 Wandering domains in the iteration of entire functions Proc. London Math. Soc. 49 563-76
2. Baker I N, Kotus J and Lü Yinian 1991 Iterates of meromorphic functions III Ergod. Theor. Dynam. Syst. 11 603-18
3. Baker I N and Weinreich J 1991 Boundaries which arise in the iteration of entire functions Rev. Roumaine Math. Pures Appl. 36 413-20
4. Beardon A F 1991 Iteration of Rational Functions (Berlin: Springer)
5. Bergweiler W 1993 Iteration of meromorphic functions Bull. Am. Math. Soc. 29 151-88
6. Bergweiler W 1995 Invariant domains and singularities Math. Proc. Camb. Phil. Soc. 117 525-32
7. Dominguez P and Baker I N Boundaries of unbounded Fatou components of entire functions Ann. Acad. Sci. Fenn. to appear
8. Erememko A E and Lyubich M Yu 1987 Examples of entire functions with pathological dynamics J. London Math. Soc. 36 458-68
9. Fatou P 1926 Sur l'itération des fonctions transcendantes entières Acta Math. France 47 337-60
10. Hayman W K and Kennedy P B 1976 Subharmonic Functions vol 1 (New York: Academic)
11. Herman M 1985 Are there critical points on the boundary of singular domains? Commun. Math. Phys. 99 593-612
12. Rippon P J and Stallard G M Families of Baker domains II Conform. Geom. Dyn. to appear
13. Rippon P J and Stallard G M On sets where iterates of a meromorphic function zip towards infinity Preprint