13 citations · 22 across the 5 of their papers we have counts for
5 papers
The fast escaping set for quasiregular mappings
Walter Bergweiler, David Drasin, Alastair Fletcher
The fast escaping set of a transcendental entire function is the set of all points which tend to infinity under iteration as fast as compatible with the growth of the function. We…
Sharpness of Rickman's Picard theorem in all dimensions
David Drasin, Pekka Pankka
We show that given , , and a finite set in there exists a quasiregular mapping omitting exactly po…
Optimal growth of frequently hypercyclic entire functions
David Drasin, Eero Saksman
We solve a problem posed by A. Bonilla and K.-G. Grosse-Erdmann by constructing an entire function that is frequently hypercyclic with respect to the differentiation operator,…
Singularities of Schröder maps and unhyperbolicity of rational functions
David Drasin, Yûsuke Okuyama
We study transcendental singularities of a Schröder map arising from a rational function , using results from complex dynamics and Nevanlinna theory. These maps are transcendent…
A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains
V. Azarin, D. Drasin, P. Poggi-Corradini
We consider functions which are subfunctions with respect to the differential operator $$L_ρ= \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + 2ρ\frac{\partial}{…