415 citations · 1.2k across the 61 of their papers we have counts for
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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…
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…
Second order linear differential equations with a basis of solutions having only real zeros
Walter Bergweiler, Alexandre Eremenko, Lasse Rempe
Let be a transcendental entire function of finite order. We show that if the differential equation has two linearly independent solutions with only real zeros, then…
Meromorphic functions with three radially distributed values
Walter Bergweiler, Alexandre Eremenko
We consider transcendental meromorphic functions for which the zeros, 1-points and poles are distributed on three distinct rays. We show that such functions exist if and only if th…
Entire functions with separated zeros and -points
Walter Bergweiler, Alexandre Eremenko
We consider transcendental entire functions of finite order for which the zeros and -points are in disjoint sectors. Under suitable hypotheses on the sizes of these sectors we s…