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Transcendental Dynamics and Complex Analysis 1st Edition by Philip Rippon, Gwyneth Stallard ISBN 0521683726 9780521683722

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Transcendental Dynamics and Complex Analysis 1st Edition Philip J. Rippon Digital Instant Download

Author(s): Philip J. Rippon, Gwyneth M. Stallard
ISBN(s): 9780521683722, 0521683726
Edition: 1
File Details: PDF, 5.33 MB
Year: 2008
Language: english
SKU: EB-2530322 Categories: , Tags: ,

Transcendental Dynamics and Complex Analysis 1st Edition by Philip J. Rippon, Gwyneth M. Stallard – Ebook PDF Instant Download/Delivery: 0521683726, 9780521683722

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Product details:

ISBN 10: 0521683726

ISBN 13: 9780521683722

Author:  Philip J. Rippon, Gwyneth M. Stallard 

Transcendental Dynamics and Complex Analysis 1st Edition: Presenting papers by researchers in transcendental dynamics and complex analysis, this exciting new and modern book is written in honor of Noel Baker, who laid the foundations of transcendental complex dynamics. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis.

 

Transcendental Dynamics and Complex Analysis 1st Edition Table of contents:

  1. Introduction
  2. Iteration of inner functions and boundaries of components of the Fatou set
  3. Conformal automorphisms of finitely connected regions
  4. Meromorphic functions with two completely invariant domains
  5. A family of matings between transcendental entire functions and a Fuchsian group
  6. Singular perturbations of znz^nzn
  7. Residual Julia sets of rational and transcendental functions
  8. Bank-Laine functions via quasiconformal surgery
  9. Generalisations of uniformly normal families
  10. Entire functions with bounded Fatou components
  11. On multiply connected wandering domains of entire functions
  12. Fractal measures and ergodic theory of transcendental meromorphic functions
  13. Combinatorics of bifurcations in exponential parameter space
  14. Baker domains
  15. Escaping points of the cosine family
  16. Dimensions of Julia sets of transcendental meromorphic functions
  17. Abel’s functional equation and its role in the problem of croissance régulière

 

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Philip Rippon,Gwyneth Stallard,Transcendental,Dynamics,Complex,Analysis