On Polar Legendre Polynomials
Classical Analysis and ODEs
2007-10-01 v1 Analysis of PDEs
Abstract
We introduce a new class of polynomials , that we call polar Legendre polynomials, they appear as solutions of an inverse Gauss problem of equilibrium position of a field of forces with unit masses. We study algebraic, differential and asymptotic properties of this class of polynomials, that are simultaneously orthogonal with respect to a differential operator and a discrete-continuous Sobolev type inner product.
Cite
@article{arxiv.0709.4537,
title = {On Polar Legendre Polynomials},
author = {Héctor Pijeira Cabrera and José Y. Bello Cruz and Wilfredo Urbina},
journal= {arXiv preprint arXiv:0709.4537},
year = {2007}
}