Explicit Calculation of Some Polynomials Introduced by W. Gautschi
H.-J. Fischer
Technische Universität Chemnitz, Germany
![Explicit Calculation of Some Polynomials Introduced by W. Gautschi cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-zaa-volume-17-issue-4.png&w=3840&q=90)
Abstract
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. 963–977
DOI 10.4171/ZAA/861