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keisanHigh-precision calculations for everyday life and work

Orthogonal polynomials

TOP/Special functions/Orthogonal polynomials
ライブラリ名概要
Hermite polynomials (graph)Calculate the table of Hermite polynomials Hn(x) and display it as a graph.
Legendre polynomials (graph)Calculate the table for the Legendre polynomial Pn(x) and display it as a graph.
Legendre polynomials (graph)Calculate the table for the Legendre polynomial Pnm(x) and display it as a graph.
Type 1 Chebyshev polynomials (graph)Calculate the table of the Type 1 Chebyshev polynomial Tn(x) and plot it.
Type II Chebyshev polynomials (graph)Calculate the table for the Type 2 Chebyshev polynomial Un(x) and plot it.
Lager Polynomials (Graph)Calculate the table of Laguerre polynomials Ln(x) and display it as a graph.
Lager polynomials (graph)Calculate the table of Laguerre polynomials Lnα(x) and display it as a graph.
Geigenbauer polynomials (graph)Calculate the table for the Gegenbauer polynomial Cnλ(x) and plot it.
Jacobian polynomial (graph)Calculate the table of the Jacobi polynomial Pnα,β(x) and display it as a graph.
Spherical harmonic functionsCalculate the spherical harmonic function Ynm(θ,φ).
Spherical Harmonic Functions (Graph)Create a table of the real and imaginary parts of the spherical harmonic function Ynm(θ,φ) with θ as the variable, and plot them.