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Orthogonal Polynomials

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2 domain-specific abstractions whose origin domain is Orthogonal Polynomials.

  • Bochner's theorem (orthogonal polynomials) — A classification theorem identifying the classical orthogonal-polynomial sequences that are eigenfunctions of a second-order differential operator with polynomial coefficients.
  • Christoffel–Darboux formula — An identity collapsing a finite weighted sum of products of orthogonal polynomials into a quotient involving only two consecutive polynomial degrees.