## Dynamics of the family $\lambda \tan z$

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- by Linda Keen and Janina Kotus PDF
- Conform. Geom. Dyn.
**1**(1997), 28-57 Request permission

## Abstract:

We study the the tangent family ${\mathcal F} = \{\lambda \tan z, \lambda \in {\mathbb C} - \{0\}\}$ and give a complete classification of their stable behavior. We also characterize the the hyperbolic components and give a combinatorial description of their deployment in the parameter plane.## References

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## Additional Information

**Linda Keen**- Affiliation: Department of Mathematics, CUNY Lehman College, Bronx, New York 10468
- MR Author ID: 99725
- Email: linda@alpha.lehman.cuny.edu
**Janina Kotus**- Affiliation: Institute of Mathematics, Technical University of Warsaw, 00-661 Warsaw, Poland
- Email: janinak@snowman.impan.gov.pl
- Received by editor(s): April 28, 1997
- Published electronically: August 13, 1997
- Additional Notes: The first author was supported in part by NSF Grant DMS-9205433, PSC-CUNY Award, I.B.M. and M.S.R.I

The second author was supported in part by Polish KBN Grant No 21046910 â€śIteracje i fraktaleâ€ť and KBN Grant No 2 P03A 025 12 â€śIteracje funkcji holomorficznych", the Fulbright Foundation, I.M.S. Stony Brook and M.S.R.I - © Copyright 1997 American Mathematical Society
- Journal: Conform. Geom. Dyn.
**1**(1997), 28-57 - MSC (1991): Primary 30D05, 58F23, 32H50; Secondary 58F08, 34C35
- DOI: https://doi.org/10.1090/S1088-4173-97-00017-9
- MathSciNet review: 1463839