On the spacings between the successive zeros of the Laguerre polynomials

DOI10.1090/proc/12574zbMath1331.33018arXiv1402.6603OpenAlexW2076390445MaRDI QIDQ2944790

Stéphane Chrétien, Sébastien Darses

Publication date: 8 September 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6603

zbMATH Keywords

Laguerre polynomialsspacings between zeros

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Real polynomials: location of zeros (26C10)

Cites Work

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• Sharp bounds for the extreme zeros of classical orthogonal polynomials
• Special functions of mathematical (geo-)physics
• Asymptotics and bounds for the zeros of Laguerre polynomials: A survey
• Asymptotic distribution of zeros of polynomials satisfying difference equations
• On extreme zeros of classical orthogonal polynomials
• On the Spacing of the Zeros of Some Classical Orthogonal Polynomials
• Bound on the Extreme Zeros of Orthogonal Polynomials
• Uniform approximation of eigenvalues in Laguerre and Hermite 𝛽-ensembles by roots of orthogonal polynomials
• Bounds for Zeros of Some Special Functions

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