Article
Discrete Hypergeometric Legendre Polynomials
Mathematics Faculty Research
Document Type
Article
Publication Date
10-1-2021
Disciplines
Abstract
A discrete analog of the Legendre polynomials defined by discrete hypergeometric series is investigated. The resulting polynomials have qualitatively similar properties to classical Legendre polynomials. We derive their difference equations, recurrence relations, and generating function.
Citation Information
Cuchta, T.; Luketic, R. Discrete Hypergeometric Legendre Polynomials. Mathematics 2021, 9, 2546. https://doi.org/10.3390/math9202546
The copy of record is available from the publisher at https://doi.org/10.3390/math9202546. Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).