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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
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
DOI: 10.1007/s40315-016-0172-0
ISSN: 1617-9447
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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