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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