Pascal k-eliminated functional matrix and its property

Citation
M. Bayat et H. Teimoori, Pascal k-eliminated functional matrix and its property, LIN ALG APP, 308(1-3), 2000, pp. 65-75
Citations number
13
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
308
Issue
1-3
Year of publication
2000
Pages
65 - 75
Database
ISI
SICI code
0024-3795(20000315)308:1-3<65:PKFMAI>2.0.ZU;2-8
Abstract
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 previou s results, we obtain several interesting combinatorial identities. We also investigate the relationship between these matrices and Cesaro matrices [9] . Finally, we give an affirmative answer to an open problem raised in [1] f or minimal polynomial of Pascal k-eliminated functional matrix over the fie ld Zp. (C) 2000 Elsevier Science Inc. All rights reserved.