Pascal Pyramids, Pascal Hyper-Pyramids and a Bilateral Multinomial Theorem

Martin Erik Horn

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arXiv · math/0311035

Pascal Pyramids, Pascal Hyper-Pyramids and a Bilateral Multinomial Theorem

Martin Erik Horn

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Abstract

Part I: The two-dimensional Pascal Triangle will be generalized into a three-dimensional Pascal Pyramid and four-, five- or whatsoever-dimensional hyper-pyramids. Part II: The Bilateral Binomial Theorem will be generalised into a Bilateral Trinomial Theorem resp. a Bilateral Multinomial Theorem.

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Martin Erik Horn. 2003-11-04. Pascal Pyramids, Pascal Hyper-Pyramids and a Bilateral Multinomial Theorem. https://arxiv.org/abs/math/0311035

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