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 The Static Maxwell System in Three Dimensional Axially Symmetric Inhomogeneous Media and Axially Symmetric Generalization of the Cauchy–Riemann System
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/18247

title: The Static Maxwell System in Three Dimensional Axially Symmetric Inhomogeneous Media and Axially Symmetric Generalization of the Cauchy–Riemann System
authors: Dmitry Bryukhov
Uwe Kaehler
keywords: Inhomogeneous media; Reduced quaternionic variable; Slice-monogenic functions; Bessel equation
issue date: Jun-2017
publisher: Birkhaeuser
abstract: In this paper we discuss different generalizations of the Cauchy–Riemann system and their connection with the static Maxwell system. In particular, this allows us to present relations between slice-monogenic functions and hypermonogenic functions, as well as to provide a physical interpretation of slice-monogenic functions. Furthermore, we present an explicit and complete set of basic solutions of a new class of axial-hypermonogenic functions in R^3. In the end we determine the symmetry operators for the class of axial-hypermonogenic functions.
URI: http://hdl.handle.net/10773/18247
ISSN: 0188-7009
publisher version/DOI: http://doi.org/doi:10.1007/s00006-016-0739-x
source: Advances in Applied Clifford Algebras
appears in collectionsCIDMA - Artigos

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