The Involutory Laguerre Transition Matrix

The Involutory Laguerre Transition Matrix

Named for French mathematician Edmond Laguerre (1834–1886), the Laguerre polynomials form one of the classical families of orthogonal polynomials. We construct this family of polynomials before presenting the surprising result that the transition matrix corresponding to a basis of Laguerre polynomia...

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Veröffentlicht in:Mathematics magazine 2019-01, Vol.92 (1), p.19-23
Hauptverfasser: CARROLL, MAUREEN T., RYKKEN, ELYN
Format: Magazinearticle
Sprache:eng
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Zusammenfassung:Named for French mathematician Edmond Laguerre (1834–1886), the Laguerre polynomials form one of the classical families of orthogonal polynomials. We construct this family of polynomials before presenting the surprising result that the transition matrix corresponding to a basis of Laguerre polynomials is its own inverse.
ISSN:0025-570X
1930-0980
DOI:10.1080/0025570X.2019.1541688