Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A $q$-summation and the orthogonality relations for the $q$-Hahn
  polynomials and the big $q$-Jacobi polynomials   Using a general $q$-summation formula, we derive a generating function for
the $q$-Hahn polynomials, which is used to give a complete proof of the
orthogonality relation for the $q$-Hahn polynomials. A new proof of the
orthogonality relation for the big $q$-Jacobi polynomials is also given. A
simple evaluation of the Nassrallah-Rahman integral is derived by using this
summation formula. A new $q$-beta integral formula is established, which
includes the Nassrallah-Rahman integral as a special case. The $q$-summation
formula also allows us to recover several strange $q$-series identities.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th