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Search: MSC category 30D05 ( Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX] )

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1. CMB 1997 (vol 40 pp. 271)

Bergweiler, Walter
 Non-real periodic points of entire functions 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 $l$. Categories:30D05, 58F23
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