Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On fractional $q$-extensions of some $q$-orthogonal polynomials   Fractional $q$-extensions of some classical $q$-orthogonal polynomials are
introduced and some of the main properties of the new defined functions are
given. Next, a fractional $q$-difference equation of Gauss type is introduced
and solved by means of power series method.

30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat