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 |
Author: | Bryukhov, Dmitry Kähler, Uwe |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18247 |
DOI: | doi:10.1007/s00006-016-0739-x |
ISSN: | 0188-7009 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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10.1007_s00006-016-0739-x(2).pdf | Documento principal | 759.78 kB | Adobe PDF | View/Open |
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