An extension of the generalized pascal matrix and its algebraic properties
作者： Zhizheng Zhang , Maixue Liu
DOI: 10.1016/S0024-3795(97)00266-8
关键词: Product (mathematics) 、 Algebraic properties 、 Mathematics 、 Extension (predicate logic) 、 Triangular matrix 、 Inverse 、 Combinatorics 、 Pascal matrix
摘要: Abstract The extended generalized Pascal matrix can be represented in two different ways: as a lower triangular Φ n [ x, y ] or symmetric Ψ ]. These matrices generalize P x ], Q and R which are defined by Zhang Call Velleman. A product formula for has been found generalizes the result of It is shown that not only factorized special summation, but also xy ]Φ s T ,1/ y/x Finally, inverse values det −1 given.
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