OrthogonalPolynomials Class

Contains methods that compute the values of orthogonal polynomials.

Inheritance Hierarchy

SystemObject
Meta.Numerics.FunctionsOrthogonalPolynomials

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4

Syntax

C++

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public static class OrthogonalPolynomials

Public NotInheritable Class OrthogonalPolynomials

public ref class OrthogonalPolynomials abstract sealed

[<AbstractClassAttribute>]
[<SealedAttribute>]
type OrthogonalPolynomials =  class end

The OrthogonalPolynomials type exposes the following members.

Methods

	Name	Description
	ChebyshevT	Computes the value of a Cebyshev polynomial.
	HermiteH	Computes the value of a (physicists') Hermite polynomial.
	HermiteHe	Computes the value of a (statisticians') Hermite polynomial.
	LaguerreL(Int32, Double)	Computes the value of a Laguerre polynomial.
	LaguerreL(Int32, Double, Double)	Computes the value of an associated Laguerre polynomial.
	LegendreP(Int32, Double)	Computes the value of a Legendre polynomial.
	LegendreP(Int32, Int32, Double)	Computes the value of an associated Legendre polynomial.
	ZernikeR	Computes the value of a Zernike polynomial.

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Remarks

Orthogonal polynomials are complete families of polynomials that are orthogonal on a given interval with a given integration weight. Because of this property, any function on the interval can be expanded in the polynomials in a unique way.

Reference

Meta.Numerics.Functions Namespace