Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenfunction expansions for a fundamental solution of Laplace's
  equation on $\R^3$ in parabolic and elliptic cylinder coordinates   A fundamental solution of Laplace's equation in three dimensions is expanded
in harmonic functions that are separated in parabolic or elliptic cylinder
coordinates. There are two expansions in each case which reduce to expansions
of the Bessel functions $J_0(kr)$ or $K_0(kr)$, $r^2=(x-x_0)^2+(y-y_0)^2$, in
parabolic and elliptic cylinder harmonics. Advantage is taken of the fact that
$K_0(kr)$ is a fundamental solution and $J_0(kr)$ is the Riemann function of
partial differential equations on the Euclidean plane.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph