A class of orthogonal functions given by a three term recurrence formula
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Abstract
We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on [-1, 1], has a complete connection to the orthogonal polynomials on the unit circle. Interpolatory properties, quadrature rules and other properties based on the zeros of these functions are also considered.
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Orthogonal functions, Orthogonal polynomials on the unit circle, Quadrature rules, Self-inversive polynomials, Three term recurrence
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English
Citation
Mathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016.
