Non-Real Periodic Points of Entire Functions
Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 271-275
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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.
Bergweiler, Walter. Non-Real Periodic Points of Entire Functions. Canadian mathematical bulletin, Tome 40 (1997) no. 3, pp. 271-275. doi: 10.4153/CMB-1997-033-x
@article{10_4153_CMB_1997_033_x,
author = {Bergweiler, Walter},
title = {Non-Real {Periodic} {Points} of {Entire} {Functions}},
journal = {Canadian mathematical bulletin},
pages = {271--275},
year = {1997},
volume = {40},
number = {3},
doi = {10.4153/CMB-1997-033-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-033-x/}
}
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