JournalszaaVol. 17, No. 4pp. 963–977

Explicit Calculation of Some Polynomials Introduced by W. Gautschi

  • H.-J. Fischer

    Technische Universität Chemnitz, Germany
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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