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Fractional iteration of entire and rational functions

Published online by Cambridge University Press:  09 April 2009

G. Szekeres
G. Szekeres
Affiliation:
The University of New South Wales, Kensington, N.S.W.
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We shall be concerned with the behaviour of the fractional iterates of analytic functions which have a fixpoint ζ with multiplier 11. The general form of such a function is If ζ is finite, if ζ = ∞.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 2 , May 1964 , pp. 129 - 142
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Baker, I. N., Zusammensetzungen ganzer Funktionen, Math. Z., 69 (1958), 121–163.CrossRefGoogle Scholar
[2]Baker, I. N., Permutable power series and regular iteration, J. Australian Math. Soc., 2 (1962) 265–294.CrossRefGoogle Scholar