Bernoulli polynomials and Pascal matrices in the context of Clifford analysis

Authors:
H. R. Malonek;G. Tomaz
Affiliations:
Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal;Departamento de Matemática, ESTG, Instituto Politécnico da Guarda, 6300-559 Guarda, Portugal
Venue:
Discrete Applied Mathematics
Year:
2009

Citing 2
Cited 1

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Bernoulli matrix and its algebraic properties

Discrete Applied Mathematics

Laguerre polynomials in several hypercomplex variables and their matrix representation

ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part III

Quantified Score

Hi-index	0.04

Visualization

Abstract

This paper describes an approach to generalized Bernoulli polynomials in higher dimensions by using Clifford algebras. Due to the fact that the obtained Bernoulli polynomials are special hypercomplex holomorphic (monogenic) functions in the sense of Clifford Analysis, they have properties very similar to those of the classical polynomials. Hypercomplex Pascal and Bernoulli matrices are defined and studied, thereby generalizing results recently obtained by Zhang and Wang (Z. Zhang, J. Wang, Bernoulli matrix and its algebraic properties, Discrete Appl. Math. 154 (11) (2006) 1622-1632).