Hausdorff Dimension of the M-Set of . exp(z)

Authors
Weiyuan, Qiu
Citation
Weiyuan, Qiu, Hausdorff Dimension of the M-Set of . exp(z), Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 10(4), 1994, pp. 362-368
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
10
Issue
4
Year of publication
1994
Pages
362 - 368
Database
ACNP
SICI code
Abstract
We show that the set of . -values for which . exp(s) does not have stable regions has Hausdorff dimension two, and that the set of . -values for which . sin(z) does not have stable regions has a positive area.