Abstract
The exponential family Eλ(z) = λ exp z where λ is a nonzero complex number has been studied extensively (see [D], [DK], [DG], [DGH]). It is known that either
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The stable set of Ωλ of Eλ consists of a single periodic cycle of stable regions and their preimages [GK], or
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Ωλ = Ø.
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References
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© 1988 Springer-Verlag New York Inc.
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Douady, A., Goldberg, L.R. (1988). The nonconjugacy of certain exponential functions. In: Drasin, D., Kra, I., Earle, C.J., Marden, A., Gehring, F.W. (eds) Holomorphic Functions and Moduli I. Mathematical Sciences Research Institute Publications, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9602-4_1
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DOI: https://doi.org/10.1007/978-1-4613-9602-4_1
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