Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second order q-difference equations solvable by factorization method   By solving an infinite nonlinear system of $q$-difference equations one
constructs a chain of $q$-difference operators. The eigenproblems for the chain
are solved and some applications, including the one related to $q$-Hahn
orthogonal polynomials, are discussed. It is shown that in the limit q->1 the
present method corresponds to the one developed by Infeld and Hull.

25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph