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An example of a function with non-analytic iterates

Published online by Cambridge University Press:  09 April 2009

M. Lewin
M. Lewin
Affiliation:
The Technion, Israel Institute of Technology Haifa, Israel
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Let Ω be the set of the analytic functions F(z), regular in some neighbourhood of the origin with the expansion There may exist a function F(s, z) arndytic in s and satisfying the following conditions (s and s′ are any complex numbers): and the ƒ k(s) are polynomials in s.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 3 , August 1965 , pp. 388 - 392
Copyright
Copyright © Australian Mathematical Society 1965

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.Google Scholar
[3]Baker, I. N., Fractional iteration near a fixpoint of multiplier I., J. Australian Math. Soc. 4 (1964), 143–148.Google Scholar
[4]Erdös, P. and Jabotinsky, E., On analytic iteration, J. Analyse Math. 8 (1960–1961), 361–376.Google Scholar
[5]Jabotinsky, E., Analytic iteration, Trans. Amer. Math. Soc. 108 (1963), 457–477.Google Scholar
[6]Szekeres, G., Regular iteration of real and complex functions, Acta Math. 100 (1958), 203–258.CrossRefGoogle Scholar
[7]Szekeres, G., Fractional iteration of entire and rational functions, J. Australian Math. Soc. 4 (1964), 129–142.CrossRefGoogle Scholar