# General hypergeometric function

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{{short description|Hypergeometric function in mathematics}}

{{distinguish|generalized hypergeometric function}}
In mathematics, a '''general hypergeometric function''' or '''Aomoto–Gelfand hypergeometric function''' is a generalization of the [hypergeometric function](/source/hypergeometric_function) that was introduced by {{harvtxt|Gelfand|1986}}. The general hypergeometric function is a function that is (more or less) defined on a [Grassmannian](/source/Grassmannian), and depends on a choice of some complex numbers and signs.

==References==

*{{Citation | last1=Gelfand | first1=I. M. | authorlink=Israel Gelfand | title=General theory of hypergeometric functions | mr=841131 | year=1986 | journal=Doklady Akademii Nauk SSSR | issn=0002-3264 | volume=288 | issue=1 | pages=14–18}} (English translation in collected papers, volume III.)
* [Aomoto, K.](/source/Kazuhiko_Aomoto) (1975), "Les équations aux différences linéaires et les intégrales des fonctions multiformes", ''J. Fac. Sci. Univ. Tokyo, Sect. IA Math.'' '''22''', 271-229.

Category:Hypergeometric functions

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