Orthogonal Polynomials for Nonclassical Weight Functions

Orthogonal Polynomials for Nonclassical Weight Functions

In this paper we develop a technique for deriving orthogonal polynomials for a class of nonclassical weight functions from known orthogonal polynomials. Although the algorithms discussed here are not as general as the classical and more recently developed algorithms, they do provide an effective and...

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Veröffentlicht in:SIAM journal on numerical analysis 1979-12, Vol.16 (6), p.999-1006
1. Verfasser: Price, Thomas E.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Coefficients
Degrees of polynomials
Gaussian quadratures
Inner products
Integrands
Mathematical integrals
Mathematical moments
Polynomials
Recurrence relations
Weighting functions
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Beschreibung
Zusammenfassung:In this paper we develop a technique for deriving orthogonal polynomials for a class of nonclassical weight functions from known orthogonal polynomials. Although the algorithms discussed here are not as general as the classical and more recently developed algorithms, they do provide an effective and simple method for generating such polynomials.
ISSN:0036-1429
1095-7170
DOI:10.1137/0716073