๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Generalized Pascal functional matrix and its applications

โœ Scribed by Yongzhi Yang; Catherine Micek

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
182 KB
Volume
423
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Pascal k-eliminated functional matrix an
Pascal k-eliminated functional matrix and its property
โœ M. Bayat; H. Teimoori ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

In this paper we shall first define the Pascal k-eliminated functional matrix for two variables, over an arbitrary field F [1-8]. Then, using the previous results, we obtain several interesting combinatorial identities. We also investigate the relationship between these matrices and Cesร ro matrices

The linear algebra of the generalized Pa
The linear algebra of the generalized Pascal functional matrix
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

An extension of the generalized pascal m
An extension of the generalized pascal matrix and its algebraic properties
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

A connection between a generalized Pasca
A connection between a generalized Pascal matrix and the hypergeometric function
โœ M. El-Mikkawy; Gi-Sang Cheon ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 265 KB

The R. x n generalized Pascal matrix P(t) whose elements are related to the hypergeometric function zFr(a, b; c; Z) is presented and the Cholesky decomposition of P(t) is obtained.