Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

The Hausdorff dimension of Julia sets of entire functions II

Gwyneth M. Stallarda1

a1 The Open University, Walton Hall, Milton Keynes, MK7 6AA

Abstract

Let f be a transcendental entire function such that the finite singularities of f−1 lie in a bounded set. We show that the Hausdorff dimension of the Julia set of such a function is strictly greater than one.

(Received March 07 1994)

(Revised December 12 1994)