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- W2041922142 abstract "The pair of groups, complex reflection group G ( r ,1, n ) and symmetric group S n , is a Gelfand pair. Its zonal spherical functions are expressed in terms of multivariate hypergeometric functions called ( n +1, m +1)-hypergeometric functions. Since the zonal spherical functions have orthogonality, they form discrete orthogonal polynomials. Also shown is a relation between monomial symmetric functions and the ( n +1, m +1)-hypergeometric functions." @default.
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- W2041922142 date "2004-05-01" @default.
- W2041922142 modified "2023-09-29" @default.
- W2041922142 title "Zonal spherical functions on the complex reflection groups and (n+1,m+1)-hypergeometric functions" @default.
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- W2041922142 doi "https://doi.org/10.1016/s0001-8708(03)00092-6" @default.
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