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Non-real periodic points of entire functions

  Published:1997-09-01
 Printed: Sep 1997
  • Walter Bergweiler
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Abstract

It is shown that if $f$ is an entire transcendental function, $l$ a straight line in the complex plane, and $n\geq 2$, then $f$ has infinitely many repelling periodic points of period $n$ that do not lie on $l$.
MSC Classifications: 30D05, 58F23 show english descriptions Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX]
unknown classification 58F23
30D05 - Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX]
58F23 - unknown classification 58F23
 

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