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
收藏
页码：271 / 331
页数：61
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