Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Area of Fatou sets of trigonometric functions

Author(s): Hendrik Schubert
Journal: Proc. Amer. Math. Soc. 136 (2008), 1251-1259.
MSC (2000): Primary 37F10; Secondary 30D05
Posted: December 18, 2007
MathSciNet review: 2367099
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

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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