Several generalizations and variations of Chu-Vandermonde identity

2018/07/23 by Meštrović, Romeo · 1 citation
#05A10 #05A19 #11A07 #11B65 #60C05 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1807.10604

Abstract

In this paper we prove some combinatorial identities which can be considered as generalizations and variations of remarkable Chu-Vandermonde identity. These identities are proved by using an elementary combinatorial-probabilistic approach to the expressions for the k-th moments (k=1,2,3) of some particular cases of recently investigated discrete random variables. Using one of these Chu-Vandermonde-type identities, two combinatorial congruences are established.

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