58 citations · 490 across the 38 of their papers we have counts for
4 papers · 1 filter
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…
The Eremenko-Lyubich constant
Lasse Rempe
Eremenko and Lyubich proved that an entire function whose set of singular values is bounded is expanding at points where its image has large modulus. These expansion properties hav…
Non-compact Riemann surfaces are equilaterally triangulable
Christopher J. Bishop, Lasse Rempe
We show that every open Riemann surface can be obtained by glueing together a countable collection of equilateral triangles, in such a way that every vertex belongs to finitely man…
Exotic Baker and wandering domains for Ahlfors islands maps
Lasse Rempe, Philip J. Rippon
Let X be a Riemann surface of genus at most 1, i.e. X is the Riemann sphere or a torus. We construct a variety of examples of analytic functions g:W->X, where W is an arbitrary sub…