Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/17233
Title: | On the φ-hyperderivative of the ψ-Cauchy-type integral in Clifford analysis |
Author: | Blaya, Ricardo Abreu Reyes, Juan Bory Adán, Alí Guzmán Kähler, Uwe |
Keywords: | Clifford analysis Hyperderivative Hyperholomorphy Cauchy-type integral |
Issue Date: | Mar-2017 |
Publisher: | Springer |
Abstract: | The aim of this paper is to introduce, in the framework of Clifford analysis, the notions of φ-hyperdifferentiability and φ-hyperderivability for ψ- hyperholomorphic functions where (φ,ψ) are two arbitrary orthogonal bases (called structural sets) of a Euclidean space. In this study we will also show how to exchange the integral sign and the φ-hyperderivative of the ψ-Cliffordian Cauchy-type integral. Thereby, we generalize, in a natural way, the corresponding quaternionic antecedent as well as the standard Clifford predecessor. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/17233 |
DOI: | 10.1007/s40315-016-0172-0 |
ISSN: | 1617-9447 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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10.1007_s40315-016-0172-0(2).pdf | 744.53 kB | Adobe PDF |
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