On the φ-Hyperderivative of the ψ-Cauchy-Type Integral in Clifford Analysis

被引：0
|
作者：
Abreu Blaya, Ricardo [1 ]
Bory Reyes, Juan [2 ]
Adan, Ali Guzman [3 ]
Kahler, Uwe [4 ]
机构：
[1] Univ Holguin, Fac Informat & Matemat, Holguin 80100, Cuba
[2] Inst Politecn Nacl, SEPI ESIME Zacatenco, Mexico City 07738, DF, Mexico
[3] Univ Ghent, Clifford Res Grp, Dept Math Anal, Fac Engn & Architecture, Galglaan 2, B-9000 Ghent, Belgium
[4] Univ Aveiro, Dept Matemat, Aveiro, Portugal
来源：
COMPUTATIONAL METHODS AND FUNCTION THEORY | 2017年 / 17卷 / 01期
关键词：
Clifford analysis; Hyperderivative; Hyperholomorphy; Cauchy-type integral;
D O I：
10.1007/s40315-016-0172-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to introduce, in the framework of Clifford analysis, the notions of phi-hyperdifferentiability and phi-hyperderivability for psi-hyperholomorphic functions where (phi, psi) 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 phi-hyperderivative of the psi-Cliffordian Cauchy-type integral. Thereby, we generalize, in a natural way, the corresponding quaternionic antecedent as well as the standard Clifford predecessor.
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页码：101 / 119
页数：19
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