415 citations · 1.2k across the 61 of their papers we have counts for
Showing 2020Show all
2 papers · 1 filter
math.CV2020
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…
math.CV2020
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…