A formula for the hypergeometric function of type BC_n
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functionhypergeometrictypeassociatedberezincomplexconditiondifferential
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Formulae of Berezin and Karpelevic for the radial parts of invariant differential operators and the spherical function on a complex Grassmann manifold are generalized to the hypergeometric functions associated with root system of type $BC_n$ under condition that the multiplicity of the middle roots is zero or one.
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