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 On the φ-hyperderivative of the ψ-Cauchy-type integral in Clifford analysis
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
authors: 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.
URI: http://hdl.handle.net/10773/17233
ISSN: 1617-9447
publisher version/DOI: http://dx.doi.org/10.1007/s40315-016-0172-0
source: Computational Methods and Function Theory
appears in collectionsCIDMA - Artigos

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