General hypergeometric function

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Not to be confused with generalized hypergeometric function.

In mathematics, a general hypergeometric function or Aomoto–Gelfand hypergeometric function is a generalization of the hypergeometric function that was introduced by Gelfand (1986). The general hypergeometric function is a function that is (more or less) defined on a Grassmannian, and depends on a choice of some complex numbers and signs.


  • Gelfand, I. M. (1986), "General theory of hypergeometric functions", Doklady Akademii Nauk SSSR, 288 (1): 14–18, ISSN 0002-3264, MR 841131  (English translation in collected papers, volume III.)
  • Aomoto, K. (1975), "Les équations aux différences linéaires et les intégrales des fonctions multiformes", J. Fac. Sci. Univ. Tokyo, Sect. IA Math. 22, 271-229.