Quadrature formulas for integrals transforms generated by orthogonal polynomials
Numerical Analysis
2008-05-15 v1
Abstract
By using the three-term recurrence equation satisfied by a family of orthogonal polynomials, the Christoffel-Darboux-type bilinear generating function and their asymptotic expressions, we obtain quadrature formulas for integral transforms generated by the classical orthogonal polynomials. These integral transforms, related to the so-called Poisson integrals, correspond to a modified Fourier Transform in the case of the Hermite polynomials, a Bessel Transform in the case of the Laguerre polynomials and to an Appell Transform in the case of the Jacobi polynomials.
Cite
@article{arxiv.0805.2111,
title = {Quadrature formulas for integrals transforms generated by orthogonal polynomials},
author = {Rafael G. Campos and Francisco Dominguez Mota and E. Coronado},
journal= {arXiv preprint arXiv:0805.2111},
year = {2008}
}
Comments
3 figures, 11 pages