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Title: A note on totally regular variables and Appell sequences in hypercomplex function theory
Author: Cruz, Carla
Falcão, Maria Irene
Malonek, Helmuth Robert
Keywords: Totally regular variables
Appell sequences
Hypercomplex differentiable functions
Issue Date: 2013
Publisher: Springer Berlin Heidelberg
Abstract: 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.
Peer review: yes
DOI: 10.1007/978-3-642-39637-3_24
ISBN: 978-3-642-39636-6
ISSN: 0302-9743
Appears in Collections:CIDMA - Comunicações

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