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Iteration of meromorphic functions (Q4275675)

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scientific article; zbMATH DE number 487133

Language	Label	Description	Also known as
English	Iteration of meromorphic functions	scientific article; zbMATH DE number 487133

Statements

scholarly article

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Iteration of meromorphic functions (English)

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zbMATH Open document ID

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10.1090/S0273-0979-1993-00432-4

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Walter Bergweiler

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Bulletin of the American Mathematical Society

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publication date

7 July 1994

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full work available at URL

https://arxiv.org/abs/math/9310226

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Baker domains

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wandering domains

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Fatou sets

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Julia sets

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MaRDI profile type

MaRDI publication profile

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The Geometry of Julia Sets

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Fixpoint and iterates of entire functions

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The existence of fixpoints of entire functions

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Multiply connected domains of normality in iteration theory

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Fixpoints of Polynomials and Rational Functions

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Sets of Non-Normality in Iteration Theory

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Repulsive fixpoints of entire functions

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The domains of normality of an entire function

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Wandering Domains in the Iteration of Entire Functions

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Some entire functions with multiply-connected wandering domains

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Wandering domains for maps of the punctured plane

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Infinite limits in the iteration of entire functions

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Iterates of meromorphic functions: I

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Iterates of Meromorphic Functions II: Examples of Wandering Domains

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Iterates of meromorphic functions III: Preperiodic domains

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Iterates of meromorphic functions. IV: Critically finite functions

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Iteration of exponential functions

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On the number of fix-points of iterated entire functions

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Periodic points of entire functions: proof of a conjecture of Baker

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On the Existence of Fixpoints of Composite Meromorphic Functions

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Newton's method and a class of meromorphic functions without wandering domains

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Omitted Values in Domains of Normality

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Weakly repelling fixpoints and the connectivity of wandering domains

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Complex analytic dynamics on the Riemann sphere

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Research Problems in Complex Analysis

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Invariant sets under iteration of rational functions

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A Characterization of Smooth Cantor Bouquets

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Complex dynamics

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Über die Häufigkeit der Nichtzentren

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Julia sets and bifurcation diagrams for exponential maps

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Structural Instability of exp(z)

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Film and video as a tool in mathematical research

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e<sup>z</sup>: DYNAMICS AND BIFURCATIONS

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The Exploding Exponential and Other Chaotic Bursts in Complex Dynamics

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Dynamics of meromorphic maps : maps with polynomial schwarzian derivative

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Dynamics of exp (<i>z</i>)

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Dynamics of entire functions near the essential singularity

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Selective solutions to transcendental equations

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Meromorphic Functions with Three Radially Distributed Values

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Examples of Entire Functions with Pathological Dynamics

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Dynamical properties of some classes of entire functions

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On the measurable dynamics of <i>z</i> → <i>e<sup>z</sup></i>

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A finiteness theorem for a dynamical class of entire functions

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Newton's method and complex dynamical systems

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The Local Growth of Power Series: A Survey of the Wiman-Valiron Method

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Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann

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Are there critical points on the boundaries of singular domains?

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Iteration and the Zeros of the Second Derivative of a Meromorphic Function

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Attractive cycles in the iteration of meromorphic functions

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The continuous, desingularized Newton method for meromorphic functions

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Topology and growth of a special class of holomorphic self-maps of ℂ*

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The domains of normality of holomorphic self-maps of C^*

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CONVERGENCE OF JULIA SETS IN THE APPROXIMATION OF λe<sup>z</sup> BY λ[1+(z/d)]<sup>d</sup>

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Area and Hausdorff Dimension of Julia Sets of Entire Functions

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Simple mathematical models with very complicated dynamics

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An explosion point for the set of endpoints of the Julia set of λ exp (<i>z</i>)

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The relaxed newton-iteration for rational functions: The limiting case

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On iterates of <i>e</i><sup><i>z</i></sup>

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On the Iteration of analytic functions .

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The exponential map is not recurrent

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Iteration of analytic functions

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The Differentiability of the Hairs of exp(Z)

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On the quasiconformal surgery of rational functions

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On the efficiency of algorithms of analysis

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Entire functions with Julia sets of zero measure

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A class of meromorphic functions with no wandering domains

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The Hausdorff dimension of Julia sets of entire functions

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On sullivan's classification of periodic stable domains

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Rational iteration: complex analytic dynamical systems

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Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains

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Über die Iteration der ganzen transzendenten Funktionen, insbesondere von \(\sin z\) und \(\cos z\)

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Komplexe Iterationsindizes ganzer und rationaler Funktionen

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Further Results on Fixpoints and Zeros of Entire Functions

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Structural Instability of Exponential Functions

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Structural instability of the mapping z\(\to \lambda \,\exp (z)(\lambda >e^{-1})\)

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Sitelinks

Mathematics(1 entry)

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