Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/22218

TítuloA note on a one-parameter family of non-symmetric number triangles
Autor(es)Falcão, M. I.
Malonek, H. R.
Palavras-chaveClifford Analysis
Generalized Appell polynomials
Number triangle
Central binomial coe cient
Binomial identity
Central binomial coefficient
DataDez-2012
EditoraAGH University of Science and Technology Press
RevistaOpuscula Mathematica
Resumo(s)The recently growing interest in special Cliff ord 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 coe fficients, 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.
TipoArtigo
URIhttps://hdl.handle.net/1822/22218
DOI10.7494/OpMath.2012.32.4.661
ISSN1232−9274
Versão da editorahttp://www.opuscula.agh.edu.pl/vol32/4/art/opuscula_math_3246.pdf
Arbitragem científicayes
AcessoAcesso aberto
Aparece nas coleções:DMA - Artigos (Papers)

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