In mathematics, a general hypergeometric function or Aomoto–Gelfand hypergeometric function is a generalization of the
hypergeometric function that was introduced by . The general hypergeometric function is a function that is (more or less) defined on a
Grassmannian
In mathematics, the Grassmannian is a space that parameterizes all -dimensional linear subspaces of the -dimensional vector space . For example, the Grassmannian is the space of lines through the origin in , so it is the same as the projective ...
, 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. (1975), "Les équations aux différences linéaires et les intégrales des fonctions multiformes", ''J. Fac. Sci. Univ. Tokyo, Sect. IA Math.'' 22, 271-229.
Hypergeometric functions