The linear algebra of the generalized Pascal functional matrix

Authors
Bayat, M Teimoori, H
Citation
M. Bayat et H. Teimoori, The linear algebra of the generalized Pascal functional matrix, LIN ALG APP, 295(1-3), 1999, pp. 81-89
Citations number
12
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
295
Issue
1-3
Year of publication
1999
Pages
81 - 89
Database
ISI
SICI code
0024-3795(19990701)295:1-3<81:TLAOTG>2.0.ZU;2-1
Abstract
In this paper we generalize Pascal's matrix by defining the polynomials "Fa ctorial Binomial". Then using this generalization, we introduce a two-varia ble Pascal's matrix and state its related theorems and prove them. Finally we introduce Pascal's functional matrix associated with a sequence a = {a(n )}(n greater than or equal to 0), and obtain several important combinatoria l identities. (C) 1999 Elsevier Science Inc. All rights reserved.