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Some properties of Fatou and Julia sets of transcendental meromorphic functions. (English) Zbl 1002.37022

The authors deal with the radial distribution of the Julia sets of transcendental meromorphic functions. Using strong tools of complex function theory they show the non-existence of unbounded Fatou components of transcendental meromorphic functions.

MSC:

37F10 Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
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