Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Julia polynomials   We study the approximation of conformal mappings with the polynomials defined
by Keldysh and Lavrentiev from an extremal problem considered by Julia. These
polynomials converge uniformly on the closure of any Smirnov domain to the
conformal mapping of this domain onto a disk. We prove estimates for the rate
of such convergence on domains with piecewise analytic boundaries, expressed
through the smallest exterior angles at the boundary.

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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph