Some Generalized Multi-sum Chu-Vandermonde Identities
M.J. Kronenburg

TL;DR
This paper introduces generalized multi-sum Chu-Vandermonde identities, extending known identities with new quadratic and cubic examples, proved using complex residue integral methods.
Contribution
It presents new generalized multi-sum Chu-Vandermonde identities, including quadratic and cubic cases, expanding the existing mathematical literature.
Findings
New generalized multi-sum Chu-Vandermonde identities
Inclusion of quadratic and cubic examples
Use of complex residue integral method for proofs
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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Taxonomy
TopicsCoding theory and cryptography · Advanced Combinatorial Mathematics · Advanced Mathematical Identities
