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CONNECTED ESCAPING SETS OF EXPONENTIAL MAPS.
- Source :
-
Annales Academiae Scientiarum Fennicae. Mathematica . 2011, Vol. 36 Issue 2, p71-80. 10p. - Publication Year :
- 2011
-
Abstract
- We show that, for many parameters aϵC, the set I(fa) of points that converge to infinity under iteration of the exponential map fa(z) = ez + a is connected. This includes all parameters for which the singular value a escapes to infinity under iteration of fa. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1239629X
- Volume :
- 36
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Annales Academiae Scientiarum Fennicae. Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 66998140
- Full Text :
- https://doi.org/10.5186/aasfm.2011.3604