58 citations · 490 across the 38 of their papers we have counts for
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math.DS2022★ 1 cited
Entire functions with Cantor bouquet Julia sets
Leticia Pardo-Simón, Lasse Rempe
A hyperbolic transcendental entire function with connected Fatou set is said to be of disjoint type. It is known that the Julia set of a disjoint-type function of finite order is a…
math.DS2022★ 4 cited
Bounded Fatou and Julia components of meromorphic functions
David Martí-Pete, Lasse Rempe, James Waterman
We completely characterise the bounded sets that arise as components of the Fatou and Julia sets of meromorphic functions. On the one hand, we prove that a bounded domain is a Fato…
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…