Hypergeometric functions associated with the Grassmannian $G_{3,6}$
Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 1-40
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Hypergeometric functions are studied on the variety $G_{3,6}$ of three-dimensional subspaces in $\mathbf C^6$ and on nondegenerate strata in $G_{3,6}$. They are described in the form of power series, systems of differential equations and integrals of Euler type. A connection is established between these functions and some classical hypergeometric functions of one and two variables.
Figures: 1.
Bibliography: 12 titles.
@article{SM_1990_66_1_a0,
author = {I. M. Gel'fand and M. I. Graev},
title = {Hypergeometric functions associated with the {Grassmannian} $G_{3,6}$},
journal = {Sbornik. Mathematics},
pages = {1--40},
publisher = {mathdoc},
volume = {66},
number = {1},
year = {1990},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1990_66_1_a0/}
}
I. M. Gel'fand; M. I. Graev. Hypergeometric functions associated with the Grassmannian $G_{3,6}$. Sbornik. Mathematics, Tome 66 (1990) no. 1, pp. 1-40. http://geodesic.mathdoc.fr/item/SM_1990_66_1_a0/