Dynamics of Transcendental Functions
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Category=PBKF
Category=PBM
Category=PBP
complex analysis methods
Complex Dilatation
complex dynamics
Conformal Mapping
dynamical systems research
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fatou Set
Fatou sets
Finite Asymptotic Values
Finite Linear Measure
Finite Logarithmic Measure
fixed point theory
Fixed Points
Hausdorff dimension
Herman Rings
holomorphic dynamics
Holomorphic Self-map
Hyperbolic Component
Hyperbolic Domain
iteration theory
Jordan Domain
Julia Set
Julia sets
mathematical chaos
Meromorphic Function
Montel's Theorem
Montel’s Theorem
Non-constant Meromorphic Functions
Nonconstant Meromorphic Function
Quasi-conformal Mappings
Quasiconformal Mapping
Transcendental Entire Functions
transcendental function iteration dynamics
transcendental iteration
Transcendental Meromorphic Function
Product details
- ISBN 9789056991616
- Weight: 517g
- Dimensions: 152 x 229mm
- Publication Date: 26 Nov 1998
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric aspects. Attention is concentrated for the first time on the dynamics of transcendental functions to compliment the growing body of work on rational functions. The subjects covered in detail include the fixed point theory, basic properties of Fatou and Julia sets, components of Fatou sets, the geometry of Julia sets, and the Hausdorff dimension of the Julia set.
