Spherical functions on the Grassmann manifold and generalized Jacobi polynomials. 2 (Q1300820)

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scientific article; zbMATH DE number 1331291
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Spherical functions on the Grassmann manifold and generalized Jacobi polynomials. 2
scientific article; zbMATH DE number 1331291

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    Spherical functions on the Grassmann manifold and generalized Jacobi polynomials. 2 (English)
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    29 March 2000
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    [For Part I see the preceding review.] This is the second part of a two-part paper in which the author generalizes integrals for Legendre and Gegenbauer polynomials of even order via an integral formula for the zonal spherical functions on Grassmann manifolds \(G_{m,n-m}\). Further certain zonal and associated spherical functions on \(G_{m,n-m}\) are constructed in terms of invariate special functions.
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    Legendre and Gegenbauer polynomials
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    spherical functions
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    Grassmann manifolds
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