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http://hdl.handle.net/10773/15316
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 |
URI: | http://hdl.handle.net/10773/15316 |
DOI: | 10.7494/OpMath.2012.32.4.661 |
ISSN: | 1232-9274 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Falcao_Malonek_2012a.pdf | final draft post-refereeing | 326.27 kB | Adobe PDF | View/Open |
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