Interlacing properties of roots of certain biorthogonal polynomials

DOI10.1016/j.jat.2006.04.002zbMath1119.15020OpenAlexW1983910621MaRDI QIDQ863341

Hugo J. Woerdeman

Publication date: 26 January 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.04.002

zbMATH Keywords

biorthogonal polynomialsinterlacingoscillatory matrixtotally nonnegativeJacobi type matrices

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

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• A Riemann-Hilbert problem for biorthogonal polynomials
• Duality, biorthogonal polynomials and multi-matrix models
• Bidiagonal Factorizations of Totally Nonnegative Matrices
• Totally positive matrices
• Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model
• Interlacing inequalities for totally nonnegative matrices

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