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Concept information

mathematical physics > special function > hypergeometric function > Dixon's identity
mathematical analysis > functional analysis > special function > hypergeometric function > Dixon's identity
algebra > elementary algebra > identity > Dixon's identity
... > mathematical analysis > calculus > sequence > integer sequence > binomial coefficient > Dixon's identity
mathematical analysis > combinatorics > binomial coefficient > Dixon's identity
algebra > combinatorics > binomial coefficient > Dixon's identity

Preferred term

Dixon's identity  

Definition

  • In mathematics, Dixon's identity (or Dixon's theorem or Dixon's formula) is any of several different but closely related identities proved by A. C. Dixon, some involving finite sums of products of three binomial coefficients, and some evaluating a hypergeometric sum. These identities famously follow from the MacMahon Master theorem, and can now be routinely proved by computer algorithms (Ekhad 1990).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Dixon%27s_identity)

Broader concept

Synonym(s)

  • Dixon's formula
  • Dixon's theorem

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-CZ3HC78N-1

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RDF/XML TURTLE JSON-LD Created 8/24/23, last modified 8/24/23