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General hypergeometric function

Hypergeometric function in mathematics


Summary

Hypergeometric function in mathematics

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, and depends on a choice of some complex numbers and signs.

References

  • (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.
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