A Survey on the (Hyper-) Derivatives in Complex, Quaternionic and Clifford Analysis

被引：0

作者：

M. E. Luna-Elizarrarás

M. Shapiro

机构：

[1] Instituto Politécnico Nacional,Escuela Superior de Física y Matemáticas

来源：

Milan Journal of Mathematics | 2011年 / 79卷

关键词：

30A05; 30E20; 30G35; Quaternionic analysis; Clifford analysis; hyperderivative;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The complex derivative serves as one of the definitions for holomorphic functions but also as an important characteristic of the latter having algebraic, topologic and analytic aspects. The goal of the paper is to explain that in the framework of quaternionic and Clifford analyses there exists the hyperderivative of a hyperholomorphic function which extends to the corresponding situations a series of fundamental properties of its complex antecedent.

引用

页码：521 / 542

页数：21

共 12 条

[1] A Survey on the (Hyper-) Derivatives in Complex, Quaternionic and Clifford Analysis
Luna-Elizarraras, M. E.
Shapiro, M.
MILAN JOURNAL OF MATHEMATICS, 2011, 79 (02) : 521 - 542
[2] A POLAR REPRESENTATION OF A REGULARITY OF A DUAL QUATERNIONIC FUNCTION IN CLIFFORD ANALYSIS
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ACTA MATHEMATICA SCIENTIA, 2024, 44 (01) : 369 - 385
[9] Dirichlet-Type Problems for the Two-Dimensional Helmholtz Operator in Complex Quaternionic Analysis
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Abreu-Blaya, Ricardo
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Schneider, Baruch
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4901 - 4916
[10] Higher Order Dirichlet-Type Problems in 2D Complex Quaternionic Analysis
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