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Christoffel-Darboux formula

name

Etymology

Named after Elwin Bruno Christoffel and Jean Gaston Darboux.

Definitions

  1. An identity for a sequence of orthogonal polynomials

    An identity for a sequence of orthogonal polynomials: ∑ⱼ₌₀ⁿ(f_j(x)f_j(y))/(h_j)=(k_n)/(h_nk_n+1)(f_n(y)f_n+1(x)-f_n+1(y)f_n(x))/(x-y) where fⱼ(x) is the jth term of a set of orthogonal polynomials of squared norm hⱼ and leading coefficient kⱼ.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA