Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplace contour integrals and linear differential equations   The purpose of this paper is to determine the main properties of Laplace
contour integrals $$\Lambda(z)=\frac1{2\pi i}\int_\CC\phi_L(t)e^{-zt}\,dt,$$
that solve linear differential equations
$$L[w](z):=w^{(n)}+\sum_{j=0}^{n-1}(a_j+b_jz)w^{(j)}=0.$$ This concerns, in
particular, the order of growth, asymptotic expansions, the
Phragm\'en-Lindel\"of indicator, the distribution of zeros, the existence of
sub-normal and polynomial solutions, and the corresponding Nevanlinna
functions.

18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an