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A duality theorem for general hypergeometric functions. (English. Russian original) Zbl 0619.33006
Sov. Math., Dokl. 34, 9-13 (1987); translation from Dokl. Akad. Nauk SSSR 289, 19-33 (1986).
In this short communication, the authors give relation between the general hypergeometric functions defined on the Grassmann manifold $$G_{k,n}$$, and those on its dual $$G_{n-k,n}$$. Relations with classical hypergeometric functions are also given.
Reviewer: A.Kaneko

##### MSC:
 33C60 Hypergeometric integrals and functions defined by them ($$E$$, $$G$$, $$H$$ and $$I$$ functions)
##### Keywords:
Grassmann manifold