415 citations · 1.2k across the 61 of their papers we have counts for
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math.CV2022★ 1 cited
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…
math.CV2022★ 2 cited
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…
math.CV2022★ 1 cited
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…