A class of orthogonal functions given by a three term recurrence formula
Numerical Analysis
2016-06-28 v1 Classical Analysis and ODEs
Abstract
The main goal in this manuscript is to 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 , has a complete connection to the orthogonal polynomials on the unit circle. Quadrature rules and other properties based on the zeros of these functions are also considered.
Cite
@article{arxiv.1305.3239,
title = {A class of orthogonal functions given by a three term recurrence formula},
author = {Cleonice F. Bracciali and John H. McCabe and Teresa E. Pérez and A. Sri Ranga},
journal= {arXiv preprint arXiv:1305.3239},
year = {2016}
}
Comments
20 pages, 2 figures