TY: JOUR
T1 - On paravector valued homogeneous monogenic polynomials with binomial expansion
A1 - Malonek, Helmuth Robert
A1 - Falcão, Maria Irene
N2 - The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized
Appell polynomials in the context of Clifford analysis.
Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent
papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three
variables.
UR - https://ria.ua.pt/handle/10773/15317
Y1 - 2012
PB - SP Birkhäuser Verlag Basel