Abstract
In this paper we classify the stable components of holomorphic self-maps of ℂ* which have finitely many singular values. We use this to study a one and a two parameter family of such functions. We examine the dynamic dependence of these functions on the parameters and study the parameter spaces themselves.
This work was supported in part by HSF Grant 8503015 and PSC-CUNY Research Award, 6-65259.
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© 1988 Springer-Verlag New York Inc.
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Keen, L. (1988). Dynamics of holomorphic self-maps of ℂ*. 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_2
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DOI: https://doi.org/10.1007/978-1-4613-9602-4_2
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