A note on a one-parameter family of non-symmetric number triangles

• Autorzy: Falcao M. I. , Malonek H. R.
• Języki publikacji: EN

Abstrakty

EN

The recent 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 coefficient 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.

Słowa kluczowe

EN

Clifford analysis; generalized Appell polynomials; number triangle; central binomial coefficient; binomial identity

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 4
• Strony: 661--673
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Falcao M. I.

autor

Malonek H. R.

• University of Aveiro Center for Research and Development in Mathematics and Applications University of Minho Department of Mathematics and Applications Campus de Gualtar 4710-057 Braga, Portugal,

Bibliografia

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