Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Product formula for Jacobi polynomials, spherical harmonics and
  generalized Bessel function of dihedral type   We work out the expression of the generalized Bessel function of type B in
the two-rank case. This is done using Dijskma and Koornwinder's product formula
for Jacobi polynomials and the obtained expression is given by multiple
integrals involving only a normalized modified Bessel function and two
symmetric Beta distributions. We think of that expression as the major step
toward the explicit expression of the Dunkl's intertwining V operator
reflections-invariant functions. Finally, we give in the same setting an
explicit formula for the action of V on a product of a power of the norm and a
spherical harmonic. The obtained formula extends to all dihedral systems and it
improves the one derived by Y.Xu.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph