Affiliation:
1. Higher Institute of Computer Medenine, Medenine, Tunisia
2. Faculty of Sciences of Gabes, City Riadh, Zirig, Tunisia
Abstract
The purpose of this work is to give some new algebraic properties of the
orthogonality of a monic polynomial sequence {Qn}n ? o defined by Qn(X) =
Pn(X) + SnPn-1(X) + tnPn-2(X) + rnPn-3(X), n ? 1, where rn ? 0, n ? 3,
and {Pn}n?0 is a given sequence of monic orthogonal polynomials.
Essentially, we consider some cases in which the parameters rn, sn, and tn
can be computed more easily. Also, as a consequence, a matrix interpretation
using LU and UL factorization is done. Some applications for Laguerre, Bessel
and Tchebychev orthogonal polynomials of second kind are obtained.
Publisher
National Library of Serbia