Orthogonal polynomials on the semicircle
Walter Gautschi (1990)
Banach Center Publications
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Walter Gautschi (1990)
Banach Center Publications
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Paweł Szeptycki (2004)
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We prove that the only functions for which certain standard numerical integration formulas are exact are polynomials.
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MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32 In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the fundamental three-term recurrence relation for orthogonal polynomials, and mention some basic facts on Gaussian quadrature rules. In the second part we discuss our Mathematica package Orthogonal Polynomials (see [2]) and show...
Walter Gautschi (1990)
Banach Center Publications
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