Sharp parameter intervals for interlacing of zeros of equal degree Laguerre polynomials

DOI10.1016/j.jat.2019.105303zbMath1447.33007OpenAlexW2976640529WikidataQ127202281 ScholiaQ127202281MaRDI QIDQ2334384

Martin E. Muldoon, Kathy A. Driver

Publication date: 7 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.jat.2019.105303

zbMATH Keywords

zerosLaguerre polynomialsBessel functionsinterlacingSturm comparison theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Interlacing of zeros of Laguerre polynomials of equal and consecutive degree

Uses Software

• DLMF

Cites Work

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• Interlacing of zeros of orthogonal polynomials under modification of the measure
• Asymptotics and bounds for the zeros of Laguerre polynomials: A survey
• Common and interlacing zeros of families of Laguerre~polynomials
• Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
• On the interlacing of cylinder functions

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