Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1998-12-31
Explicit Calculation of Some Polynomials Introduced by W. GautschiH.-J. Fischer (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