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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
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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