The differentiability of the hairs of $\textrm {exp}(Z)$
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- by M. Viana da Silva PDF
- Proc. Amer. Math. Soc. 103 (1988), 1179-1184 Request permission
Abstract:
We prove that the hairs of the exponential-like maps $f(z) = \lambda {e^z}$ are smooth curves. This answers affirmatively a question of Devaney and Krych. The proof is constructive in the sense that a dynamically defined ${C^\infty }$ parametrization is presented.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 1179-1184
- MSC: Primary 30D05; Secondary 58F08, 58F11
- DOI: https://doi.org/10.1090/S0002-9939-1988-0955004-1
- MathSciNet review: 955004