Class LegendrePolynomials

  • All Implemented Interfaces:
    OrthogonalPolynomialFamily

    public class LegendrePolynomials
    extends Object
    implements OrthogonalPolynomialFamily
    A Legendre polynomial is defined by the recurrence relation below. \[ P_0(x) = 1,\quad P_1(x) = x, \quad (n+1) P_{n+1}(x) = (2n+1) x P_n(x) - n P_{n-1}(x). \]

    Legendre polynomials are derived from a differential equation encountered in physics and engineering.

    See Also:
    Wikipedia: Legendre polynomials
    • Constructor Detail

      • LegendrePolynomials

        public LegendrePolynomials()