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arXiv · 1911.10533

Asymptotics of Polynomials Orthogonal on a Cross with a Jacobi-type Weight

Ahmad Barhoumi·Maxim L. Yattselev
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Abstract

We investigate asymptotic behavior of polynomials $ Q_n(z) $ satisfying non-Hermitian orthogonality relations $$ \int_Δs^kQ_n(s)ρ(s)\dd s =0, \quad k\in\{0,\ldots,n-1\}, $$ where $ Δ:= [-a,a]\cup [-\ic b,\ic b] $, $ a,b>0 $, and $ ρ(s) $ is a Jacobi-type weight.

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Ahmad Barhoumi, Maxim L. Yattselev. 2019-11-24. Asymptotics of Polynomials Orthogonal on a Cross with a Jacobi-type Weight. https://arxiv.org/abs/1911.10533

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