Approximating special monogenic functions in Clifford analysis

Authors

Gamal Farghaly Hassan, Assiut University, Faculty of Science, Mathematics Department
A. M. Saddeek, Assiut University, Faculty of Science, Mathematics Department
A. A. Atta, Assiut University, Faculty of Science, Mathematics DepartmentFollow

Document Type

Original Article

Subject Areas

Mathematics and Statistics

Keywords

Tr-property, Clifford algebra, Effectiveness, Exponential operators, Order, Type

Abstract

This paper deals with the approximation of specific classes of special monogenic function using exponential-derived and integral bases in Clifford analysis. To underscore the superiority of our results we provide illustrative examples and applications. These findings result extend existing knowledge from complex and quaternion forms to the context of Clifford analysis 2000 Mathematics Subject Classification: 30G35, 41A10.

How to Cite This Article

Hassan, Gamal Farghaly; Saddeek, A. M.; and Atta, A. A. (2024) "Approximating special monogenic functions in Clifford analysis," Al-Azhar Bulletin of Science: Vol. 35: Iss. 2, Article 2.
DOI: https://doi.org/10.58675/2636-3305.1672