In his classical by now investigation of the numerical condition of methods for computing orthogonal polynomials from modified moments, Gautschi introduced some poly-nomials defined by the nodes and weights of a Gaussian quadrature formula for the measure of orthogonality. We show that these polynomials can be calculated explicitly for Chebyshev weights of first, second and third kinds.
Cite this article
H.-J. Fischer, Explicit Calculation of Some Polynomials Introduced by W. Gautschi. Z. Anal. Anwend. 17 (1998), no. 4, pp. 963–977DOI 10.4171/ZAA/861