# Orthogonal polynomial

 Calculator name Summary Hermite polynomial (chart)Hermite polynomial (chart) Calculates a table of the Hermite polynomial Hn(x) and draws the chart. Legendre polynomial (chart)Legendre polynomial (chart) Calculates a table of the Legendre polynomial Pn(x) and draws the chart. Associated Legendre polynomial (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)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)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)Laguerre polynomial (chart) Calculates a table of the Laguerre polynomial Ln(x) and draws the chart. Associated Laguerre polynomial (chart)Associated Laguerre polynomial (chart) Calculates a table of the associated Laguerre polynomial Lnα(x) and draws the chart. Gegenbauer polynomial (chart)Gegenbauer polynomial (chart) Calculates a table of the Gegenbauer polynomial Cnλ(x) and draws the chart. Jacobi polynomial (chart)Jacobi polynomial (chart) Calculates a table of the respective values of the Jacobi polynomial Pnα,β(x) and draws the chart. Spherical harmonicsSpherical harmonics Calculates the spherical harmonics Ynm(θ,φ). Spherical harmonics (chart)Spherical harmonics (chart) Calculates a table of the real and imaginary parts of the spherical harmonics Ynm(θ,φ) and draws the chart.