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A class of orthogonal functions given by a three term recurrence formula
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.
How to cite this document
Bracciali, C. F. et al. A class of orthogonal functions given by a three term recurrence formula. Mathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016. Available at: <http://hdl.handle.net/11449/172737>.
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English
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