Pascal k-eliminated functional matrix and its property
β Scribed by M. Bayat; H. Teimoori
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 91 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
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 CesΓ ro matrices [9]. Finally, we give an affirmative answer to an open problem raised in [1] for minimal polynomial of Pascal k-eliminated functional matrix over the field Z p .
π SIMILAR VOLUMES
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
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.
term 'hydroxy-phlorin' is used for the designation of the product in order to distinguish it from normal phlorin and isoporphyrin.) Although the hydroxy-phlorin was stable for near-infrared light, it was isomaiized by visible-light irradiation under anaerobic conditions. The wavelength selective pho