Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials

DOI10.1007/s11075-019-00824-5zbMath1458.33007arXiv1905.04276OpenAlexW2998097796WikidataQ126396073 ScholiaQ126396073MaRDI QIDQ2200792

Oksana Bihun, Kathy A. Driver

Publication date: 22 September 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04276

zbMATH Keywords

ultraspherical polynomialsinterlacing of zerosquasi-orthogonal polynomialsWendroff's theorem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Cites Work

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• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Bounds for Extreme Zeros of Quasi-orthogonal Ultraspherical Polynomials
• Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
• Zeros of ultraspherical polynomials and the Hilbert-Klein formulas

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