Word.ws English Dictionary

Christoffel-Darboux formula

Christoffel-Darboux formula proper noun: 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.

Proper noun

the Christoffel-Darboux formula

  1. 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.

Origin of Christoffel-Darboux formula

Named after Elwin Bruno Christoffel and Jean Gaston Darboux.

Questions about Christoffel-Darboux formula

What does Christoffel-Darboux formula mean?
Christoffel-Darboux formula means 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.
What part of speech is Christoffel-Darboux formula?
Christoffel-Darboux formula is a proper noun.

Words near Christoffel-Darboux formula in the dictionary

  1. Christofascists
  2. Christoff
  3. Christoffel
  4. Christoffel symbol
  5. Christoffel symbols
  6. Christoffel-Darboux formula
  7. Christoffersen
  8. Christoffersens
  9. Christofferson
  10. Christoffersons
  11. Christoffs

Source and license

Adapted from Wiktionary: Christoffel-Darboux formula (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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