Unbounded domains of normality

Author:

Anderson J.,Hinkkanen A.

Abstract

Let f f be a transcendental entire function of order less than 1/2. We introduce the method of “self-sustaining spread” to study the components of the set of normality of such a function. We give a new proof of the fact that any preperiodic or periodic component of the set of normality of f f is bounded. We obtain the same conclusion for a wandering domain if the growth rate of f f is never too small.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

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5. On a theorem of Besicovitch;Barry, P. D.;Quart. J. Math. Oxford Ser. (2),1963

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