Sixsmith, DJ ORCID: 0000-0002-3543-6969
(2013)
Functions of genus zero for which the fast escaping set has Hausdorff
dimension two.
Proc. Amer. Math. Soc., 143.
6-.
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Dim2paper.pdf - Author Accepted Manuscript Download (495kB) |
Abstract
We study a family of transcendental entire functions of genus zero, for which all of the zeros lie within a closed sector strictly smaller than a half-plane. In general these functions lie outside the Eremenko-Lyubich class. We show that for functions in this family the fast escaping set has Hausdorff dimension equal to two.
Item Type: | Article |
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Uncontrolled Keywords: | math.CV, math.CV, math.DS |
Depositing User: | Symplectic Admin |
Date Deposited: | 07 Apr 2017 08:34 |
Last Modified: | 19 Jan 2023 07:06 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3006834 |
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