Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on generalized $q$-difference equations for general
  Al-Salam--Carlitz polynomials   In this paper, we deduce the generalized $q$-difference equations for general
Al-Salam--Carlitz polynomials and generalize Arjika's recently results
[$q$-difference equation for homogeneous $q$-difference operators and their
applications, J. Differ. Equ. Appl. {\bf 26}, 987--999 (2020)]. In addition, we
obtain transformational identities by the method of $q$-difference equation.
Moreover, we deduce $U(n+1)$ type generating functions and Ramanujan's
integrals involving general Al-Salam--Carlitz polynomials by $q$-difference
equation.

29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph