Jacobi Polynomial Calculator

P_n^(α,β)(x) general family

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About Jacobi Polynomial Calculator

A Jacobi polynomial calculator computing P_n^(α,β)(x), the most general classical orthogonal polynomial on [-1,1] with weight (1−x)^α(1+x)^β. Legendre: α=β=0. Chebyshev T: α=β=−1/2. Gegenbauer: α=β. Client-side.

Jacobi Polynomial Calculator Features

  • P_n^(α,β)(x)
  • Special cases
  • Weight function
  • Recurrence
  • Sequence
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