Matrix Associate with Holomorphic Functions Taking
Values in Clifford Algebras

Nguyen Thi Huyen; Dao Viet Cuong

doi:https://doi.org/10.14445/22315373/IJMTT-V69I5P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 5 | Year 2023 | Article Id. IJMTT-V69I5P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I5P508

Matrix Associate with Holomorphic Functions Taking Values in Clifford Algebras

Nguyen Thi Huyen, Dao Viet Cuong

Received	Revised	Accepted	Published
02 Apr 2023	06 May 2023	17 May 2023	31 May 2023

Citation :

Nguyen Thi Huyen, Dao Viet Cuong, "Matrix Associate with Holomorphic Functions Taking Values in Clifford Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 5, pp. 82-89, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I5P508

Abstract

In this paper, we introduce the matrix classes 𝐷̃ (1,2, … , 𝑚; 𝑁) and it associates with functions taking values in Clifford algebras. This is an extension of the holomorphic function class from the complex plane to higher dimensional spaces. Some results and examples are presented with low-dimensional spaces.

Keywords

Holomorphic function, Clifford analysis, Reguler function, Cachy-Riemann system

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