Zeros of quasi-orthogonal Jacobi polynomials

DOI10.3842/SIGMA.2016.042zbMath1339.33014arXiv1510.08599OpenAlexW2014261213WikidataQ62623416 ScholiaQ62623416MaRDI QIDQ288685

Kerstin Jordaan, Kathy A. Driver

Publication date: 27 May 2016

Published in: Indagationes Mathematicae. New Series, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08599

zbMATH Keywords

Laguerre polynomialsinterlacing of zerosquasi-orthogonal Jacobi polynomialsStieltjes theoremde Boor-Saff polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (18)

Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials ⋮ On quasi-orthogonal polynomials: their differential equations, discriminants and electrostatics ⋮ Quasi-orthogonality of some hypergeometric and \(q\)-hypergeometric polynomials ⋮ On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials ⋮ On approximation of ultraspherical polynomials in the oscillatory region ⋮ Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials ⋮ Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences ⋮ Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials ⋮ Interlacing properties and bounds for zeros of some quasi-orthogonal Laguerre polynomials ⋮ Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials ⋮ Zeros of quasi-orthogonal \(q\)-Laguerre polynomials ⋮ Interlacing of zeros of Laguerre polynomials of equal and consecutive degree ⋮ Multiple monotonicity of discrete distributions: the case of the Poisson model ⋮ Bounds for zeros of Meixner and Kravchuk polynomials ⋮ Bounds for extreme zeros of some classical orthogonal polynomials ⋮ Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials ⋮ On certain properties of perturbed Freud-type weight: a revisit ⋮ Common and interlacing zeros of families of Laguerre~polynomials

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