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On some formulas for weighted sum of invariant polynomials of two matrix arguments
Authors:Takesi Hayakawa
Affiliation:Hitotsubashi University, Kunitachi, Tokyo, Japan
Abstract:Some properties of the generalized binomial coefficients and new coefficients related to symmetric functions are discussed. Several formulas of the weighted sum of invariant polynomials of two matrix arguments which are useful in multivariate distribution theory are presented.
Keywords:62H99  Invariant Polynomial  Hypergeometric Function  Generalized Binomial Coefficient  Hermite Polynomials  Laguerre Polynomials
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