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.

引用

页码：101 / 119

页数：19

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