Package dev.nm.analysis.integration.univariate.riemann.gaussian.rule

Interface Summary

Interface	Description
GaussianQuadratureRule	This interface defines a Gaussian quadrature rule used in Gaussian quadrature.
OrthogonalPolynomialFamily	This factory class produces a family of orthogonal polynomials.

Class Summary

Class	Description
ChebyshevRule
HermitePolynomials	A Hermite polynomial is defined by the recurrence relation below. \[ H_0(x) = 1,\quad H_1(x) = 2x, \quad (k+1) H_{k+1}(x) = 2x H_k(x) - 2k H_{k-1}(x)
HermiteRule
LaguerrePolynomials	Laguerre polynomials are defined by the recurrence relation below. \[ L_0(x) = 1,\quad L_1(x) = 1 - x, \quad (k+1) L_{k+1}(x) = (2k+1-x) L_k(x) - k L_{n-1}(x)
LaguerreRule
LegendrePolynomials	A Legendre polynomial is defined by the recurrence relation below. \[ P_0(x) = 1,\quad P_1(x) = x, \quad (n+1) P_{n+1}(x) = (2n+1) x P_n(x) - n P_{n-1}(x)
LegendreRule