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Non-Real Periodic Points of Entire Functions

Published online by Cambridge University Press:  20 November 2018

Walter Bergweiler
Walter Bergweiler*
Affiliation:
Fachbereich Mathematik, Sekr. MA 8-2, Technische Universität Berlin, Straße des 17. Juni 136, D-10623 Berlin, Germany
*
*Present address: Mathematisches Seminar Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany, email: bergweiler@math.uni-kiel.de
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Abstract

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It is shown that if f is an entire transcendental function, l a straight line in the complex plane, and n ≥ 2, then f has infinitely many repelling periodic points of period n that do not lie on l.

Keywords

30D0558F23
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 3 , 01 September 1997 , pp. 271 - 275
Copyright
Copyright © Canadian Mathematical Society 1997

Footnotes

Supported by a Heisenberg Fellowship of the Deutsche Forschungsgemeinschaft.

References

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