Iteration of a class of hyperbolic meromorphic functions
From MaRDI portal
Publication:4257657
DOI10.1090/S0002-9939-99-04942-4zbMath0931.30017OpenAlexW1564099312MaRDI QIDQ4257657
G. M. Stallard, Philip J. Rippon
Publication date: 31 August 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04942-4
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)
Related Items (56)
On the derivative of meromorphic functions with multiple zeros. ⋮ The exact value of Hausdorff dimension of escaping sets of class \(\mathcal{B}\) meromorphic functions ⋮ A class of Newton maps with Julia sets of Lebesgue measure zero ⋮ Deficient values of derivatives of meromorphic functions in the class \(S\) ⋮ On transcendental meromorphic functions which are geometrically finite ⋮ Rational deficient functions of derivatives of mappings in the classes \(S\) and \(B\) ⋮ Non-real zeros of derivatives of real meromorphic functions ⋮ Elliptic Functions with Disconnected Julia Sets ⋮ Hausdorff Dimension of Escaping Sets of Nevanlinna Functions ⋮ Elliptic functions with critical points eventually mapped onto infinity ⋮ Baker Domains of Period Two for the Family $f_{\lambda,\mu}(z)=\lambda e^{z} + \frac{\mu}{z}$ ⋮ Normal families of meromorphic functions sharing values or functions ⋮ Hyperbolic entire functions and the Eremenko-Lyubich class: Class \(\mathcal {B}\) or not class \(\mathcal {B}\)? ⋮ LOCALLY SIERPINSKI JULIA SETS OF WEIERSTRASS ELLIPTIC ℘ FUNCTIONS ⋮ Cantor and connected Julia sets of the parameterized Dixon elliptic functions ⋮ Rigidity of escaping dynamics for transcendental entire functions ⋮ Geometric thermodynamic formalism and real analyticity for meromorphic functions of finite order ⋮ A normal criterion about two families of meromorphic functions concerning shared values ⋮ Slices of parameter space for meromorphic maps with two asymptotic values ⋮ Hausdorff measure of escaping sets on certain meromorphic functions ⋮ Unnamed Item ⋮ On a conjecture of W. Bergweiler ⋮ A new characterisation of the Eremenko-Lyubich class ⋮ Foundations for an iteration theory of entire quasiregular maps ⋮ Invariant measures for meromorphic Misiurewicz maps ⋮ Meromorphic functions in the class \(S\) and the zeros of the second derivative ⋮ Dynamics of hyperbolic meromorphic functions ⋮ Hausdorff dimension of the set of elliptic functions with critical values approaching infinity ⋮ On normal families and differential polynomials for meromorphic functions ⋮ Iteration of certain meromorphic functions with unbounded singular values ⋮ Elliptic functions with critical orbits approaching infinity ⋮ Cantor Julia sets in a family of even elliptic functions ⋮ On the number of solutions of a transcendental equation arising in the theory of gravitational lensing ⋮ Iteration of functions which are meromorphic outside a small set ⋮ On the Julia sets of two permutable entire functions ⋮ Stable components in the parameter plane of transcendental functions of finite type ⋮ Extending two fixpoint theorems of Langley and Zheng ⋮ Shared values, Picard values and normality ⋮ Dynamics in the Eremenko-Lyubich class ⋮ A normal criterion of families of holomorphic functions ⋮ Dynamics of the meromorphic families $f_\lambda=\lambda \tan^pz^q$ ⋮ Fatou components and singularities of meromorphic functions ⋮ A fundamental dichotomy for Julia sets of a family of elliptic functions ⋮ Simply connected Baker domains of some meromorphic functions ⋮ On the Hausdorff dimension of the escaping set of certain meromorphic functions ⋮ Normality concerning shared values ⋮ Connectivity properties of Julia sets of Weierstrass elliptic functions ⋮ Hausdorff dimension of escaping sets of meromorphic functions ⋮ The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class ⋮ Unnamed Item ⋮ On homogeneous differential polynomials of meromorphic functions ⋮ Density of hyperbolicity for classes of real transcendental entire functions and circle maps ⋮ Escaping points of commuting meromorphic functions with finitely many poles ⋮ Normality and exceptional values of derivatives ⋮ Normal families and fixed-points of meromorphic functions ⋮ Single and double toral band Fatou components in meromorphic dynamics
This page was built for publication: Iteration of a class of hyperbolic meromorphic functions
