58 citations · 490 across the 38 of their papers we have counts for
Showing 2006Show all
2 papers · 1 filter
math.DS2006★ 28 cited
On a question of Eremenko concerning escaping components of entire functions
Lasse Rempe
Let f be an entire function with a bounded set of singular values, and suppose furthermore that the postsingular set of f is bounded. We show that every component of the escaping s…
math.DS2006★ 48 cited
Rigidity of escaping dynamics for transcendental entire functions
Lasse Rempe
We prove an analog of Boettcher's theorem for transcendental entire functions in the Eremenko-Lyubich class B. More precisely, let f and g be entire functions with bounded sets of…