Article contents
DIMENSIONS OF JULIA SETS OF HYPERBOLIC MEROMORPHIC FUNCTIONS
Published online by Cambridge University Press: 28 November 2001
Abstract
It is known that, if f is a hyperbolic rational function, then the Hausdorff, packing and box dimensions of the Julia set, J(f), are equal. In this paper it is shown that, for a hyperbolic transcendental meromorphic function f, the packing and upper box dimensions of J(f) are equal, but can be strictly greater than the Hausdorff dimension of J(f).
- Type
- NOTES AND PAPERS
- Information
- Copyright
- © The London Mathematical Society 2001
- 1
- Cited by