In combinatorics, Vandermonde's identity, or Vandermonde's convolution, named after Alexandre-Théophile Vandermonde (1772), states that
for binomial coefficients. This identity was given already in 1303 by the Chinese mathematician Zhu Shijie (Chu Shi-Chieh). See Askey 1975, pp. 59–60 for the history.
There is a q-analog to this theorem called the q-Vandermonde identity.
Read more about Vandermonde's Identity: Algebraic Proof, Combinatorial Proof, Generalized Vandermonde's Identity, The Hypergeometric Probability Distribution, Chu–Vandermonde Identity
Famous quotes containing the word identity:
“Every man must define his identity against his mother. If he does not, he just falls back into her and is swallowed up.”
—Camille Paglia (b. 1947)