Interlacing of zeros of Laguerre polynomials of equal and consecutive degree

DOI10.1080/10652469.2020.1804901zbMath1491.33008arXiv2009.10206OpenAlexW3173394335MaRDI QIDQ5154019

Jorge Arvesú, Kathy A. Driver, Lance L. Littlejohn

Publication date: 1 October 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10206

zbMATH Keywords

zerosLaguerre polynomialsthree-term recurrence relationinterlacing

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

Zeros of Jacobi and ultraspherical polynomials

Cites Work

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• Zeros of quasi-orthogonal Jacobi polynomials
• Interlacing of zeros of orthogonal polynomials under modification of the measure
• Interlacing of the zeros of Jacobi polynomials with different parameters
• Sharp parameter intervals for interlacing of zeros of equal degree Laguerre polynomials
• Common and interlacing zeros of families of Laguerre~polynomials
• Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
• Quadrature identities for interlacing and orthogonal polynomials
• On the interlacing of cylinder functions
• Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey

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