A Cauchy Integral Formula for Infrapolymonogenic Functions in Clifford Analysis

被引：8
|
作者：
Blaya, Ricardo Abreu [1 ]
Reyes, Juan Bory [2 ]
Garcia, Arsenio Moreno [3 ]
Garcia, Tania Moreno [3 ]
机构：
[1] Univ Autonoma Guerrero, Fac Matemat, Chilpancingo, Mexico
[2] Inst Politecn Nacl, SEPI ESIME ZAC, Mexico City, DF, Mexico
[3] Univ Holguin, Fac Informat & Matemat, Holguin, Cuba
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2020年 / 30卷 / 02期
关键词：
Clifford analysis; Cauchy integral formula; Dirac operator;
D O I：
10.1007/s00006-020-1049-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we derive a Cauchy integral representation formula for the solutions of the iterated sandwich equation partial derivative(2k- 1)(x) f partial derivative(x) = 0, where k is a positive integer and partial derivative(x) stands for the Dirac operator in the Euclidean space R-m. We call these solutions (2k - 1)-infrapolymonogenic functions (or simply infrapolymonogenic if no confusion can arise). For k = 1 the derived formula becomes the Cauchy integral representation formula recently obtained in Moreno-Garcia et al. (Adv Appl Clifford Algebras 27(2):1147-1159, 2017) for inframonogenic functions.
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页数：17
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