IJPAM: Volume 58, No. 3 (2010)

PASCAL TYPE MATRICES AND BERNOULLI NUMBERS

Cheng-Ye Ma$^1$, Sheng-Liang Yang$^2$
$^{1,2}$Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu, 730050, P.R. CHINA
$^1$e-mai: [email protected]
$^2$e-mail: [email protected]


Abstract.This paper introduces the notion of power sum matrix. The relationships between the power sum matrix, Pascal-type matrices, Stirling matrices, Vandermonde matrix and Bernoulli matrix are investigated, meanwhile some explicit factorizations of the power matrix are also obtained.

Received: May 20, 2007

AMS Subject Classification: 05A16, 05A19, 15A23

Key Words and Phrases: Pascal matrix, Vandermonde matrix, power sum matrix, Stirling number, Bernoulli number

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 58
Issue: 3