Combinatorial sums derived from properties of Legendre polynomials

Fuente: arXiv
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Autori principali: Bataille, Michel, Frontczak, Robert
Natura: Preprint
Pubblicazione: 2026
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author Bataille, Michel
Frontczak, Robert
author_facet Bataille, Michel
Frontczak, Robert
contents From an identity connecting a combinatorial sum and Legendre polynomials, we derive closed forms for a number of combinatorial sums. Some of them are obtained via results about the integrals of functions associated with Legendre polynomials.
format Preprint
id arxiv_https___arxiv_org_abs_2604_25981
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Combinatorial sums derived from properties of Legendre polynomials
Bataille, Michel
Frontczak, Robert
Number Theory
05A10, 11B65, 11B83
From an identity connecting a combinatorial sum and Legendre polynomials, we derive closed forms for a number of combinatorial sums. Some of them are obtained via results about the integrals of functions associated with Legendre polynomials.
title Combinatorial sums derived from properties of Legendre polynomials
topic Number Theory
05A10, 11B65, 11B83
url https://arxiv.org/abs/2604.25981