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Entire functions of slow growth whose Julia set coincides with the plane
Published online by Cambridge University Press: 01 December 2000
Abstract
We construct a transcendental entire function $f$ with $J(f)=\mathbb{C}$ such that $f$ has arbitrarily slow growth; that is, $\log |f(z)|\leq\phi(|z|)\log |z|$ for $|z|>r_0$, where $\phi$ is an arbitrary prescribed function tending to infinity.
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- © 2000 Cambridge University Press
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