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arxiv: 1012.1243 · v1 · pith:HJFXT5N6new · submitted 2010-12-06 · 🧮 math.PR · math.CO

A simple proof of a generalization of the Chu-Vandermonde identity

classification 🧮 math.PR math.CO
keywords chu-vandermondefourthgeneralizationidentitylauricellaproofsimpleavoided
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We provide a simple proof of a generalization of the multivariate Chu-Vandermonde identity recently derived in Favaro et al. (2010a). Exploiting known results for rising factorials and fourth Lauricella polynomials we show resorting to Laplace-type integral representation of the fourth Lauricella function may be avoided.

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