Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relationships between solid spherical and toroidal harmonics   We derive new relationships expressing solid spherical harmonics as series of
toroidal harmonics and vice versa. The expansions include regular and irregular
spherical harmonics, ring and axial toroidal harmonics of even and odd parity
about the plane of the torus. The expansion coefficients are given in terms of
a recurrence relation. As an example application we apply one of the expansions
to express the potential of a charged conducting torus on a basis of spherical
harmonics.

16
The categories of this paper are: stat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg