Jump to content

General hypergeometric function

From Wikipedia, the free encyclopedia
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

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.

References

  • Gelfand, I. M. (1986), "General theory of hypergeometric functions", Doklady Akademii Nauk SSSR, 288 (1): 14–18, ISSN 0002-3264, MR 0841131 (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.