Legendre Polynomial Calculator

P_n(x) orthogonal basis

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About Legendre Polynomial Calculator

A Legendre polynomial calculator computing P_n(x) via Bonnet's recurrence: (n+1)P_{n+1}=(2n+1)xP_n−nP_{n-1}. P_0=1, P_1=x, P_2=(3x²−1)/2. Used in Gauss-Legendre quadrature, multipole expansions, spherical harmonics. Client-side.

Legendre Polynomial Calculator Features

  • P_n(x) value
  • Coefficients
  • Recurrence steps
  • Gauss nodes
  • Sequence

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