The Fourier Transforms of the Chebyshev and Legendre Polynomials
Numerical Analysis
2012-11-22 v1 Analysis of PDEs
Abstract
Analytic expressions for the Fourier transforms of the Chebyshev and Legendre polynomials are derived, and the latter is used to find a new representation for the half-order Bessel functions. The numerical implementation of the so-called unified method in the interior of a convex polygon provides an example of the applicability of these analytic expressions.
Keywords
Cite
@article{arxiv.1211.4943,
title = {The Fourier Transforms of the Chebyshev and Legendre Polynomials},
author = {A. S. Fokas and S. A. Smitheman},
journal= {arXiv preprint arXiv:1211.4943},
year = {2012}
}
Comments
17 pages, 2 figures