Abstract
In C 2, Steven G. Krantz[3] constructed the Fatou-Bieberbach domain. In this talk, we construct the Fatou-Bieberbach domain in C n. The method of Proof is similar to Krantz[3]. Also, we paint complex one dimensinal sections of the Fatou-Bieberbach domain in C 3.
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References
Y. Fukushima, On a complex Hénon mapping fron C 3 to C 3, Proceeding of the fifth international colloquium on finite and infinite dimensinal complex analysis, 67–72(1997).
Y. Fukushima, T. Sasaki and R. Tsukamoto., Computer graphics by complex Hénon mapping from C 2 to C 2, Proceeding of the fourth international colloquium of finite or infinite dimensional complex analysis, 115–120(1996).
Krantz S. G., Function theory of several complex variables, second edition, Wadsworth & Brooks/Cole Advanced Mathmatics Series, (1992).
T. Ueda, M. Taniguchi and S. Morosawa, Intoroduction of complex dynamical systems, (in Japanese), Baifuukan,(1995).
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© 2000 Kluwer Academic Publishers
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Fukushima, Y. (2000). Hénon Mapping of Complex N-Space in Complex N-Space. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_40
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DOI: https://doi.org/10.1007/978-1-4613-0269-8_40
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7970-6
Online ISBN: 978-1-4613-0269-8
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