Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating Function Associated with the Rational Solutions of the
  Painlev\'e II Equation   We consider the Hankel determinant representation for the rational solutions
of the Painlev\'e II equation. We give an explicit formula for the generating
function of the entries in terms of logarithmic derivative of the Airy
function, which by itself is a particular solution of the Painlev\'e II
equation.

23
The categories of this paper are: solv-int
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph