Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An asymptotic integral representation for Carleman orthogonal
  polynomials   In this paper we investigate the asymptotic behavior of polynomials that are
orthonormal over the interior domain of an analytic Jordan curve L with respect
to area measure. We prove that, inside L, these polynomials behave
asymptotically like a sequence of certain integrals involving the canonical
conformal map of the exterior of L onto the exterior of the unit circle and
certain meromorphic kernel function defined in terms of a conformal map of the
interior of L onto the unit disk. The error term in the integral representation
is proven to decay geometrically and sufficiently fast, allowing us to obtain
more precise asymptotic formulas for the polynomials under certain additional
geometric considerations. These formulas yield, in turn, fine results on the
location, limiting distribution and accumulation points of the zeros of the
polynomials.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th