most citedEscaping points of entire functions of small growth

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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…