415 citations · 1.2k across the 61 of their papers we have counts for
66 papers
On the Hausdorff dimension of the set of non-escaping points in the Julia set
Walter Bergweiler, Weiwei Cui, Lingrui Wang
For an entire function and a non-zero complex number , let . We give conditions on which imply that the Hausdorff dimension of the set of non-escaping poin…
On the boundary of an immediate attracting basin of a hyperbolic entire function
Walter Bergweiler, Jie Ding
Let be a transcendental entire function of finite order which has an attracting periodic point of period at least . Suppose that the set of singularities of the invers…
On Bloch's "Principle of topological continuity''
Walter Bergweiler, Alexandre Eremenko
We discuss to what extent certain results about totally ramified values of entire and meromorphic functions remain valid if one relaxes the hypothesis that some value is totally ra…
The Hausdorff dimension of escaping sets of meromorphic functions in the Speiser class
Walter Bergweiler, Weiwei Cui
Bergweiler and Kotus gave sharp upper bounds for the Hausdorff dimension of the escaping set of a meromorphic function in the Eremenko-Lyubich class, in terms of the order of the f…
On conformal metrics of constant positive curvature in the plane
Walter Bergweiler, Alexandre Eremenko, James Langley
We prove three theorems about solutions of in the plane. The first two describe explicitly all concave and quasiconcave solutions. The third theorem says that the…
A question of Gol'dberg and Ostrovskii concerning linear differential equations with coefficients of completely regular growth
Walter Bergweiler
We show that a linear differential equation whose coefficients are entire functions of completely regular growth may have an entire solution of finite order which is not of complet…