Stieltjes polynomials

This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "Stieltjes polynomials" – news · newspapers · books · scholar · JSTOR (May 2024)

In mathematics, the Stieltjes polynomials E_n are polynomials associated to a family of orthogonal polynomials P_n. They are unrelated to the Stieltjes polynomial solutions of differential equations. Stieltjes originally considered the case where the orthogonal polynomials P_n are the Legendre polynomials.

The Gauss–Kronrod quadrature formula uses the zeros of Stieltjes polynomials.