Orthogonal Polynomials
Orthogonal Polynomials
Overview
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An overview of the Ortpol toolbox.
ortpol_quadrature
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Returns nodes and weights of a quadrature from alphas and betas
Chebyshev
chebyshev_eval
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Evaluate Chebyshev polynomial
chebyshev_norm
—
Compute Chebyshev L2 norm
chebyshev_pdf
—
Chebyshev PDF
chebyshev_poly
—
Create Chebyshev polynomial
chebyshev_quadrature
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Returns nodes and weights of Gauss-Chebyshev quadrature
chebyshev_variance
—
Variance of Chebyshev polynomials
chebyshev_weight
—
Chebyshev weight function
Hermite
hermite_eval
—
Evaluate Hermite polynomial
hermite_norm
—
Compute Hermite L2 norm
hermite_pdf
—
Gaussian PDF
hermite_poly
—
Create Hermite polynomial
hermite_quadrature
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Returns nodes and weights of Gauss-Hermite quadrature
hermite_variance
—
Variance of Hermite polynomials
hermite_weight
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Gaussian weight function
Laguerre
laguerre_eval
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Evaluate Laguerre polynomial
laguerre_norm
—
Compute Laguerre L2 norm
laguerre_pdf
—
Laguerre PDF
laguerre_poly
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Create Laguerre polynomial
laguerre_quadrature
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Returns nodes and weights of Gauss-Laguerre quadrature
laguerre_variance
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Variance of Laguerre polynomials
laguerre_weight
—
Laguerre weight function
Legendre
legendre_eval
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Evaluate Legendre polynomial
legendre_norm
—
Compute Legendre L2 norm
legendre_pdf
—
Legendre PDF
legendre_poly
—
Create Legendre polynomial
legendre_quadrature
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Returns nodes and weights of Gauss-Legendre quadrature
legendre_variance
—
Variance of Legendre polynomials
legendre_weight
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Legendre weight function
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