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Size of the Julia set of a structurally finite transcendental entire function

Published online by Cambridge University Press:  26 June 2003

MASAHIKO TANIGUCHI
MASAHIKO TANIGUCHI
Affiliation:
Graduate School of Science, Kyoto University, 606 Kyoto, Japan. e-mail: [email protected]
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Abstract

We show that, for every structurally finite transcendental entire function, the Hausdorff dimension of its Julia set is two.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 1 , July 2003 , pp. 181 - 192
Copyright
2003 Cambridge Philosophical Society

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