Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A certain generalization of $q$-hypergeometric functions and their
  related monodromy preserving deformation   We define a series $\mathcal{F}_{M,N}$ as a certain generalization of
$q$-hypergeometric function. We study its duality and the system of
$q$-difference nonlinear equations which admits particular solutions in terms
of $\mathcal{F}_{1,M}$.

25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph