Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behaviours of q-orthogonal polynomials from a q-Riemann
  Hilbert Problem   We describe a Riemann-Hilbert problem for a family of $q$-orthogonal
polynomials, $\{ P_n(x) \}_{n=0}^\infty$, and use it to deduce their asymptotic
behaviours in the limit as the degree, $n$, approaches infinity. We find that
the $q$-orthogonal polynomials studied in this paper share certain universal
behaviours in the limit $n\to\infty$. In particular, we observe that the
asymptotic behaviour near the location of their smallest zeros, $x \sim
q^{n/2}$, and norm, $\|P_n\|_2$, are independent of the weight function as
$n\to\infty$.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat