TY  - JOUR
ID  - Falcão2012
LB  - Falcão2012
AU  - Falcão, Maria Irene
AU  - Malonek, Helmuth R.
TI  - A note on a one-parameter family of non-symmetric number triangles
ST  - A note on a one-parameter family of non-symmetric number triangles
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 4
SP  - 661
EP  - 673
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.4.661
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.4.661
AB  - 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.
KW  - Clifford analysis
KW  - generalized Appell polynomials
KW  - number triangle
KW  - central binomial coefficient
KW  - binomial identity
SN  - 1232-9274
ER  -