Non-Hermitian Orthogonal Polynomials on a Trefoil

被引：0

作者：

Barhoumi, Ahmad B. ^{[1
]}

Yattselev, Maxim L. ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, 530 Church St, Ann Arbor, MI 48109 USA

[2] Indiana Univ Purdue Univ Indianapolis, Dept Math Sci, 402 North Blackford St, Indianapolis, IN 46202 USA

来源：

CONSTRUCTIVE APPROXIMATION | 2024年 / 59卷 / 02期

基金：

美国国家科学基金会;

关键词：

Non-Hermitian orthogonality; Strong asymptotics; Pade approximation; Riemann-Hilbert analysis; PADE APPROXIMANTS; STRONG ASYMPTOTICS; CONVERGENCE;

D O I：

10.1007/s00365-023-09640-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate asymptotic behavior of polynomials Q(n)(z) satisfying non-Hermitian orthogonality relations integral(Delta)s(k)Q(n)(s)rho(s)ds = 0, k is an element of{0,..., n - 1}, where Delta is a Chebotarev (minimal capacity) contour connecting three non-collinear points and rho(s) is a Jacobi-type weight including a possible power-type singularity at the Chebotarev center of Delta

引用

页码：271 / 331

页数：61

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