Open AccessExplicit Calculation of Some Polynomials Introduced by W. Gautschi
Author(s) -
Hans-Jürgen Fischer
Publication year - 1998
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/861
Subject(s) - mathematics , difference polynomials , pure mathematics , algebra over a field , discrete mathematics , arithmetic , orthogonal polynomials
In his classical by now investigation of the numerical condition of methods for computing orthogonal polynomials from modified moments, Gautschi introduced some polynomials 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.
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