Orthogonal polynomial

Calculator nameSummary
Hermite polynomial (chart) Calculates a table of the Hermite polynomial Hn(x) and draws the chart.
Legendre polynomial (chart) Calculates a table of the Legendre polynomial Pn(x) and draws the chart.
Associated Legendre polynomial (chart) Calculates a table of the associated Legendre polynomial Pnm(x) and draws the chart.
Chebyshev polynomial of the 1st kind (chart) Calculates a table of the Chebyshev polynomial of the first kind Tn(x) and draws the chart.
Chebyshev polynomial of the 2nd kind (chart) Calculates a table of the Chebyshev polynomial of the second kind Un(x) and draws the chart.
Laguerre polynomial (chart) Calculates a table of the Laguerre polynomial Ln(x) and draws the chart.
Associated Laguerre polynomial (chart) Calculates a table of the associated Laguerre polynomial Lnα(x) and draws the chart.
Gegenbauer polynomial (chart) Calculates a table of the Gegenbauer polynomial Cnλ(x) and draws the chart.
Jacobi polynomial (chart) Calculates a table of the respective values of the Jacobi polynomial Pnα,β(x) and draws the chart.
Spherical harmonics Calculates the spherical harmonics Ynm(θ,φ).
Spherical harmonics (chart) Calculates a table of the real and imaginary parts of the spherical harmonics Ynm(θ,φ) and draws the chart.