Common zeros of two polynomials in an orthogonal sequence

DOI10.1006/JATH.2000.3462zbMath1033.42023OpenAlexW1986947121MaRDI QIDQ1577540

Peter C. Gibson

Publication date: 2000

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

Full work available at URL: https://doi.org/10.1006/jath.2000.3462

zbMATH Keywords

orthogonal polynomialsorthogonal sequencecommon zeros

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (7)

Biorthogonality and para-orthogonality of \(R_I\) polynomials ⋮ Stieltjes interlacing of the zeros of ⋮ Zeros of quasi-orthogonal Jacobi polynomials ⋮ The theorems of Stieltjes and Favard ⋮ Interlacing of zeros of Gegenbauer polynomials of non-consecutive degree from different sequences ⋮ Bounds for zeros of Meixner and Kravchuk polynomials ⋮ The zeros of linear combinations of orthogonal polynomials

Cites Work

• The numerically stable reconstruction of a Jacobi matrix from spectral data

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