Entire functions of slow growth whose Julia set coincides with the plane
2000 ◽
Vol 20
(6)
◽
pp. 1577-1582
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Keyword(s):
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.
1996 ◽
Vol 119
(3)
◽
pp. 513-536
◽
Keyword(s):
2015 ◽
Vol 158
(2)
◽
pp. 365-383
◽
2001 ◽
Vol 63
(3)
◽
pp. 367-377
◽
1997 ◽
Vol 122
(2)
◽
pp. 223-244
◽
2012 ◽
Vol 33
(4)
◽
pp. 1146-1161
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2010 ◽
Vol 148
(3)
◽
pp. 531-551
◽
Keyword(s):
2018 ◽
Vol 40
(1)
◽
pp. 89-116
◽
1985 ◽
Vol 5
(2)
◽
pp. 163-169
◽
Keyword(s):
1974 ◽
Vol 10
(1)
◽
pp. 67-70
◽
Keyword(s):