Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Smooth Perturbations of Chebysh\"ev Polynomials and
  $\bar\partial$-Riemann-Hilbert Method   $\bar\partial$-extension of the matrix Riemann-Hilbert method is used to
study asymptotics of the polynomials $P_n(z)$ satisfying orthogonality
relations \[ \int_{-1}^1 x^lP_n(x)\frac{\rho(x)dx}{\sqrt{1-x^2}}=0, \quad
l\in\{0,\ldots,n-1\}, \] where $\rho(x)$ is a positive $m$ times continuously
differentiable function on $[-1,1]$, $m\geq3$.

36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an