Finite orthogonal polynomials on a cone
Classical Analysis and ODEs
2026-03-18 v1
Abstract
The aim of this paper is to study finite orthogonal polynomials on a cone of revolution and its surface. We define two classes of finite orthogonal polynomials on the solid cone and derive their corresponding differential equations and recurrence relations. Furthermore, we demonstrate that, in the limit case, one of these classes reduces to Laguerre polynomials on the cone. Similarly, we establish two families of finite orthogonal polynomials on the surface of the cone and analyze their respective properties.
Cite
@article{arxiv.2603.16282,
title = {Finite orthogonal polynomials on a cone},
author = {Ömer Faruk Et and Esra Çekirdek and Rabia Aktaş Karaman},
journal= {arXiv preprint arXiv:2603.16282},
year = {2026}
}
Comments
24 pages