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On the value distribution of iterated entire functions

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 April 2009

Zheng Jian-Hua
Zheng Jian-Hua
Affiliation:
Department of Applied Mathematics, Tsing Hua University, Beijing, 100084, P. R. China e-mail: jzheng@math.tsinghua.edu.cn
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Abstract

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Let f be a transcendental entire function and denote the n-th iterate fn. For n ≥ 2, we give an explict estimate of the number of periodic points of f with period n, that is, fix-points of fn which are not fix-points of fk for 1 ≤ k <n.

Keywords

entire functioniterationperiodic points

MSC classification

Secondary: 30D05: Functional equations in the complex domain, iteration and composition of analytic functions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 66 , Issue 1 , February 1999 , pp. 18 - 31
Copyright
Copyright © Australian Mathematical Society 1999

References

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