Interlacing Properties and Bounds for Zeros of Some Quasi-Orthogonal Laguerre Polynomials

Interlacing Properties and Bounds for Zeros of Some Quasi-Orthogonal Laguerre Polynomials

We discuss interlacing properties of zeros of Laguerre polynomials of different degree in quasi-orthogonal sequences { L n ( α ) } n = 0 ∞ characterized by - 2 < α < - 1 . Interlacing of zeros of L n ( α ) , - 2 < α < - 1 , with zeros of orthogonal Laguerre polynomials is also investigat...

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Veröffentlicht in:Computational methods and function theory 2015-12, Vol.15 (4), p.645-654
Hauptverfasser: Driver, Kathy, Muldoon, Martin E.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Computational Mathematics and Numerical Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
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Zusammenfassung:We discuss interlacing properties of zeros of Laguerre polynomials of different degree in quasi-orthogonal sequences { L n ( α ) } n = 0 ∞ characterized by - 2 < α < - 1 . Interlacing of zeros of L n ( α ) , - 2 < α < - 1 , with zeros of orthogonal Laguerre polynomials is also investigated. Upper and lower bounds for the negative zero of L n ( α ) , - 2 < α < - 1 , are derived.
ISSN:1617-9447
2195-3724
DOI:10.1007/s40315-015-0129-8