Interlacing properties of roots of certain biorthogonal polynomials

Hugo J. Woerdeman

doi:10.1016/j.jat.2006.04.002

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Interlacing properties of roots of certain biorthogonal polynomials

Journal article

Open access

Peer reviewed

Interlacing properties of roots of certain biorthogonal polynomials

Hugo J. Woerdeman

Journal of approximation theory, v 143(2), pp 150-158

2006

DOI: https://doi.org/10.1016/j.jat.2006.04.002

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Abstract

Biorthogonal polynomials

Interlacing

Oscillatory matrix

Totally nonnegative

In this paper we consider the biorthogonal polynomials with respect to the measure e - x 4 - y 2 + 2 τ xy dxdy , and show that their roots interlace. The proof involves showing total nonnegativity of matrices related to Jacobi type matrices.

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Title: Interlacing properties of roots of certain biorthogonal polynomials
Creators: Hugo J. Woerdeman - Drexel University
Publication Details: Journal of approximation theory, v 143(2), pp 150-158
Publisher: Elsevier
Resource Type: Journal article
Language: English
Academic Unit: Mathematics
Web of Science ID: WOS:000242950000002
Scopus ID: 2-s2.0-33750709654
Other Identifier: 991019168561804721

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Web of Science research areas: Mathematics

Interlacing properties of roots of certain biorthogonal polynomials

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