In honour of Noel Baker, a leading exponent of transcendental complex dynamics, this book describes the state of the art in this subject.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Introduction; 1. Iteration of inner functions and boundaries of components of the Fatou set D. Bargmann; 2. Conformal automorphisms of finitely connected regions A. F. Beardon and D. Minda; 3. Meromorphic functions with two completely invariant domains W. Bergweiler and A. Eremenko; 4. A family of matings between transcendental entire functions and a Fuchsian group S. Bullett and M. Freiberger; 5. Singular perturbations of z^n R. Devaney, M. Holzer, D. Look, M. Moreno Rocha and D. Uminsky; 6. Residual Julia sets of rational and transcendental functions P. Domínguez and N. Fagella; 7. Bank-Laine functions via quasiconformal surgery D. Drasin and J. K. Langley; 8. Generalisations of uniformly normal families W. K. Hayman and A. Hinkkanen; 9. Entire functions with bounded Fatou components A. Hinkkanen; 10. On multiply connected wandering domains of entire functions M. Kisaka and M. Shishikura; 11. Fractal measures and ergodic theory of transcendental meromorphic functions J. Kotus and M. Urbäski; 12. Combinatorics of bifurcations in exponential parameter space L. Rempe and D. Schleicher; 13. Baker domains P. J. Rippon; 14. Escaping points of the cosine family G. Rottenfusser and D. Schleicher; 15. Dimensions of Julia sets of transcendental meromorphic functions G. M. Stallard; 16. Abel's functional equation and its role in the problem of croissance régulière G. Szekeres.
Introduction; 1. Iteration of inner functions and boundaries of components of the Fatou set D. Bargmann; 2. Conformal automorphisms of finitely connected regions A. F. Beardon and D. Minda; 3. Meromorphic functions with two completely invariant domains W. Bergweiler and A. Eremenko; 4. A family of matings between transcendental entire functions and a Fuchsian group S. Bullett and M. Freiberger; 5. Singular perturbations of z^n R. Devaney, M. Holzer, D. Look, M. Moreno Rocha and D. Uminsky; 6. Residual Julia sets of rational and transcendental functions P. Domínguez and N. Fagella; 7. Bank-Laine functions via quasiconformal surgery D. Drasin and J. K. Langley; 8. Generalisations of uniformly normal families W. K. Hayman and A. Hinkkanen; 9. Entire functions with bounded Fatou components A. Hinkkanen; 10. On multiply connected wandering domains of entire functions M. Kisaka and M. Shishikura; 11. Fractal measures and ergodic theory of transcendental meromorphic functions J. Kotus and M. Urbäski; 12. Combinatorics of bifurcations in exponential parameter space L. Rempe and D. Schleicher; 13. Baker domains P. J. Rippon; 14. Escaping points of the cosine family G. Rottenfusser and D. Schleicher; 15. Dimensions of Julia sets of transcendental meromorphic functions G. M. Stallard; 16. Abel's functional equation and its role in the problem of croissance régulière G. Szekeres.
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