Area of Fatou sets of trigonometric functions

Schubert, Hendrik

doi:10.1090/S0002-9939-07-09015-6

Area of Fatou sets of trigonometric functions
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by Hendrik Schubert

Proc. Amer. Math. Soc. 136 (2008), 1251-1259

DOI: https://doi.org/10.1090/S0002-9939-07-09015-6

Published electronically: December 18, 2007

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Abstract:

We extend a result of McMullen to show that the area of the Fatou set of the sine function in a vertical strip of width $2\pi$ is finite. This confirms a conjecture by Milnor.

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