Sampling theorem based Fourier-Legendre transform
Mathematical Physics
2021-11-17 v1 math.MP
Abstract
The product of any number of Legendre functions, under a restricted domain, can be expanded by the corresponding Legendre polynomials, with the coefficient being the sinc function. While an analogous expansion can be made for any number of Gengenbauer functions, it is not allowed for more than two Jacobi functions. To obtain such an expansion, the sampling theorem is of great availability.
Keywords
Cite
@article{arxiv.1811.00727,
title = {Sampling theorem based Fourier-Legendre transform},
author = {S. Kuwata and K. Kawaguchi},
journal= {arXiv preprint arXiv:1811.00727},
year = {2021}
}
Comments
9 pages