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The linear algebra of the generalized Pascal matrix

โœ Scribed by Zhizheng Zhang


Book ID
107826782
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
290 KB
Volume
250
Category
Article
ISSN
0024-3795

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The linear algebra of the generalized Pa
โœ M. Bayat; H. Teimoori ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

In this paper we generalize Pascal's matrix by deยฎning the polynomials ``Factorial Binomial''. Then using this generalization, we introduce a two-variable Pascal's matrix and state its related theorems and prove them. Finally we introduce Pascal's functional matrix associated with a sequence a f n g

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โœ Zhizheng Zhang; Maixue Liu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

The extended generalized Pascal matrix can be represented in two different ways: as a lower triangular matrix d~n [x, y] or as a symmetric ~.[x, y]. These matrices generalize Pn[X], Qn[X], and Rn[X], which are defined by Zhang and by Call and Velleman. A product formula for dp.[ x, y] has been found