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Some Generalized Multi-sum Chu-Vandermonde Identities

2021/11/23 by M. J. Kronenburg, Kronenburg, M. J.
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2111.11864

openalex publication_date 2021/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some generalized multi-sum Chu-Vandermonde identities are presented and proved, generalizing some known multi-sum Chu-Vandermonde identities from literature and adding some quadratic and cubic examples of these identities. Some other closely related identities are provided. The identities are proved with the integral representation method using complex residues, a method also used in some earlier papers.

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