The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (979 KB) | Metadata | Table of Contents | ZAA summary
Volume 17, Issue 4, 1998, pp. 963–977
DOI: 10.4171/ZAA/861

Published online: 1998-12-31

Explicit Calculation of Some Polynomials Introduced by W. Gautschi

H.-J. Fischer[1]

(1) Technische Universität Chemnitz, Germany

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.

Keywords: Numerical condition, orthogonal polynomials, modified moments, Chebyshev and Jacobi weights

Fischer H.-J.: Explicit Calculation of Some Polynomials Introduced by W. Gautschi. Z. Anal. Anwend. 17 (1998), 963-977. doi: 10.4171/ZAA/861