 |
(1)
|
where 
are orthogonal polynomials with weighting
function 
such that
![gamma_m=int[phi_m(x)]^2W(x)dx,](/images/equations/Christoffel-DarbouxIdentity/NumberedEquation2.svg) |
(2)
|
and
 |
(3)
|
with 
is the coefficient of 
in 
.
Christoffel-Darboux Identity
See also
Christoffel Formula, Orthogonal PolynomialsExplore with Wolfram|Alpha
References
Hildebrand, F. B. Introduction to Numerical Analysis. New York: McGraw-Hill, p. 322, 1956.Referenced on Wolfram|Alpha
Christoffel-Darboux IdentityCite this as:
Weisstein, Eric W. "Christoffel-Darboux Identity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Christoffel-DarbouxIdentity.html