A note on the interlacing of zeros and orthogonality

DOI10.1016/j.jat.2008.11.008zbMath1184.42020OpenAlexW2052128183MaRDI QIDQ1048974

Kathy A. Driver

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.11.008

zbMATH Keywords

interlacing of zerosorthogonality of a monic polynomial sequence

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (7)

Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials ⋮ Interlacing properties and bounds for zeros of some quasi-orthogonal Laguerre polynomials ⋮ On connection between zeros and d -orthogonality ⋮ The theorems of Stieltjes and Favard ⋮ Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials ⋮ Multiple monotonicity of discrete distributions: the case of the Poisson model ⋮ Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences

Cites Work

• The zeros of linear combinations of orthogonal polynomials
• On Orthogonal Polynomials
• Unnamed Item

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