2 papers
math.GM2026
A combinatorial sum with two complex parameters
Michel Bataille, Robert Frontczak
This article deals with combinatorial identities with two complex parameters. Starting with a fundamental lemma, we derive various polynomial identities, combinatorial sums and rel…
math.NT2026
Combinatorial sums derived from properties of Legendre polynomials
Michel Bataille, Robert Frontczak
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…