TY: CONF
T1 - A note on totally regular variables and Appell sequences in hypercomplex function theory
A1 - Cruz, Carla
A1 - Falcão, Maria Irene
A1 - Malonek, Helmuth Robert
N2 - The aim of our contribution is to call attention to the relationship between totally regular variables, introduced by R. Delanghe in 1970, and Appell sequences with respect to the hypercomplex derivative. Under some natural normalization condition the set of all paravector valued totally regular variables defined in the three dimensional Euclidean space will be completely characterized. Together with their integer powers they constitute automatically Appell sequences, since they are isomorphic to the complex variables.
UR - https://ria.ua.pt/handle/10773/15234
Y1 - 2013
PB - Springer Berlin Heidelberg