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Title: A note on a one-parameter family of non-symmetric number triangles
Author: Falcão, Irene
Malonek, Helmuth Robert
Keywords: Clifford Analysis
Generalized Appell polynomials
Number triangle
Central binomial coefficient
Binomial identity
Issue Date: Dec-2012
Publisher: AGH University of Science and Technology Press
Abstract: The recently growing interest in special Clifford Algebra valued polynomial solutions of generalized Cauchy-Riemann systems in (n + 1)-dimensional Euclidean spaces suggested a detailed study of the arithmetical properties of their coefficients, due to their combinatoric relevance. This concerns, in particular, a generalized Appell sequence of homogeneous polynomials whose coe cient's set can be treated as a one-parameter family of non-symmetric triangles of fractions. The discussion of its properties, similar to those of the ordinary Pascal triangle (which itself does not belong to the family), is carried out in this paper.
Peer review: yes
DOI: 10.7494/OpMath.2012.32.4.661
ISSN: 1232-9274
Appears in Collections:CIDMA - Artigos

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