Artículos de revistas
A class of orthogonal functions given by a three term recurrence formula
Fecha
2016-01-01Registro en:
Mathematics of Computation, v. 85, n. 300, p. 1837-1859, 2016.
0025-5718
10.1090/mcom3041
2-s2.0-84961798887
2-s2.0-84961798887.pdf
8300322452622467
0000-0002-6823-4204
Autor
Universidade Estadual Paulista (Unesp)
University of St. Andrews
Universidad de Granada
Institución
Resumen
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.