Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast escaping points of entire functions: a new regularity condition   Let $f$ be a transcendental entire function. The fast escaping set, $A(f)$,
plays a key role in transcendental dynamics. The quite fast escaping set,
$Q(f)$, defined by an apparently weaker condition is equal to $A(f)$ under
certain conditions. Here we introduce $Q_2(f)$ defined by what appears to be an
even weaker condition. Using a new regularity condition we show that functions
of finite order and positive lower order satisfy $Q_2(f)=A(f)$. We also show
that the finite composition of such functions satisfies $Q_2(f)=A(f)$. Finally,
we construct a function for which $Q_2(f) \neq Q(f)= A(f)$.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio