A polynomial identity and some of its new consequences
In this article, we present a new proof of a polynomial identity studied by Guo [Discrete Math.Lett.8 (2022) 41-48].We also provide new applications of this identity to combinatorial sums involving binomial coefficients and to convolution-type sums with harmonic numbers.Finally, we establish some relations involving Catalan numbers.
Authors
- Michel Bataille
- Robert Frontczak
Publication Details
- Journal
- Electronic Journal of Mathematics
- Published
- 2025-12-31
- DOI
- https://doi.org/10.47443/ejm.2025.070
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00