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Some Generalized Multi-sum Chu-Vandermonde Identities (2111.11864v5)
Published 23 Nov 2021 in math.CO
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.