The algebraic properties of the generalized Pascal functional matrices associated with the exponential families (Q1590645)

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scientific article; zbMATH DE number 1547887
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The algebraic properties of the generalized Pascal functional matrices associated with the exponential families
scientific article; zbMATH DE number 1547887

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    The algebraic properties of the generalized Pascal functional matrices associated with the exponential families (English)
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    21 December 2000
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    Pascal matrices \(P_n(x)\) are generalized to functional matrices. Generalized formulas are derived using exponential families of all permutations and the restricted sequences of polynomials of binomial type. Pascal functional matrices are generalized for two and three variables. The generalized forms are defined and proved.
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    singular systems
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    Hankel matrices
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    exponential families
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    Pascal functional matrices
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