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1. CMB 1997 (vol 40 pp. 271)
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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 |