On the Moisil-Theodoresco Operator in Orthogonal Curvilinear Coordinates

The action of the Moisil-Theodoresco operator over a quaternionic valued function defined on R 3 (sum of a scalar and a vector field) in Cartesian coordinates is generally well understood. However this is not the case for any orthogonal curvilinear coordinate system. This paper sheds some new light...

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Veröffentlicht in:	Computational methods and function theory Jg. 21; H. 1; S. 131 - 144
Hauptverfasser:	Bory Reyes, J., Pérez-de la Rosa, M. A.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2021 Springer Nature B.V
Schlagworte:	Analysis Cartesian coordinates Computational Mathematics and Numerical Analysis Fields (mathematics) Functions of a Complex Variable Mathematics Mathematics and Statistics Spherical coordinates Vector analysis Laplace operator Primary 30G35 Moisil-Theodoresco operator hyperholomorphic functions orthogonal curvilinear coordinates Secondary 35J05
ISSN:	1617-9447, 2195-3724
Online-Zugang:	Volltext
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