50 citations · 52 across the 3 of their papers we have counts for
3 papers
math.CV2008
Functions of small growth with no unbounded Fatou components
P. J. Rippon, G. M. Stallard
We prove a form of the theorem which gives strong estimates for the minimum modulus of a transcendental entire function of order zero. We also prove a generalisation of a…
math.CV2008★ 2 cited
Escaping points of entire functions of small growth
P. J. Rippon, G. M. Stallard
Let be a transcendental entire function and let denote the set of points that escape to infinity under iteration. We give conditions which ensure that, for certain funct…
math.CV2007★ 50 cited
Dynamics of meromorphic functions with direct or logarithmic singularities
Walter Bergweiler, Philip J. Rippon, Gwyneth M. Stallard
We show that if a meromorphic function has a direct singularity over infinity, then the escaping set has an unbounded component and the intersection of the escaping set with the Ju…