Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/6002

TitleRemarks on the generation of monogenic functions
Author(s)Cruz, J. F.
Falcão, M. I.
Malonek, H. R.
KeywordsClifford analysis
Monogenic function
Mapping problems
Issue date12-Jan-2007
CitationGURLEBECK, K. ; KONKE, C., ed. lit. - International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, 17, Weimar, 2006 “. [S.l. : s.n. 2006].
Abstract(s)In this paper we consider three different methods for generating monogenic functions. The first one is related to Fueter's well known approach to the generation of monogenic quaternion-valued functions by means of holomorphic functions, the second one is based on the solution of hypercomplex differential equations and fnally the third one is a direct series approach, based on the use of special homogeneous polynomials. We illustrate the theory by generating three different exponential functions and discuss some of their properties.
TypeConference paper
URIhttp://hdl.handle.net/1822/6002
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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