Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Orthogonality Relations for Dual Discrete q-Ultraspherical
  Polynomials   The dual discrete $q$-ultraspherical polynomials $D_n^{(s)}(\mu (x;s)|q)$
correspond to indeterminate moment problem and, therefore, have one-parameter
family of extremal orthogonality relations. It is shown that special cases of
dual discrete $q$-ultraspherical polynomials $D_n^{(s)}(\mu (x;s)|q)$, when
$s=q^{-1}$ and $s=q$, are directly connected with $q^{-1}$-Hermite polynomials.
These connections are given in an explicit form. Using these relations, all
extremal orthogonality relations for these special cases of polynomials
$D_n^{(s)}(\mu (x;s)|q)$ are found.

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat