Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15234| 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 |
| URI: | http://hdl.handle.net/10773/15234 |
| DOI: | 10.1007/978-3-642-39637-3_24 |
| ISBN: | 978-3-642-39636-6 |
| ISSN: | 0302-9743 |
| Appears in Collections: | CIDMA - Comunicações |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| CruzFalcaoMalonek_ICCSA2013.pdf | final draft post-refereeing | 328.18 kB | Adobe PDF | View/Open |
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