The theorems of Stieltjes and Favard

DOI10.1007/BF03321801zbMath1232.42023OpenAlexW2044928488MaRDI QIDQ643206

Alan F. Beardon

Publication date: 28 October 2011

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321801

zbMATH Keywords

orthogonal polynomialsFavard's theoreminterlacing zeros

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) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items

The distribution of radial eigenvalues of the Euclidean Laplacian on homogeneous isotropic trees, Zeros of quasi-orthogonal Jacobi polynomials, Alternation points and bivariate Lagrange interpolation, Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences, Interlacing properties and bounds for zeros of some quasi-orthogonal Laguerre polynomials, Construction of graphs with distinct \(A_\alpha \)-eigenvalues, Zeros of polynomials embedded in an orthogonal sequence, Interlacing of zeros of Gegenbauer polynomials of non-consecutive degree from different sequences, Properties of Certain Classes of Semiclassical Orthogonal Polynomials, Construction of graphs with distinct eigenvalues, Bounds for zeros of Meixner and Kravchuk polynomials, Bounds for extreme zeros of some classical orthogonal polynomials, A Generalized Freud Weight, Common and interlacing zeros of families of Laguerre~polynomials, Inner bounds for the extreme zeros of ₃F₂ hypergeometric polynomials

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