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|Title:||Remarks on the generation of monogenic functions|
|Author(s):||Cruz, J. F.|
Falcão, M. I.
Malonek, H. R.
|Citation:||GURLEBECK, 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.|
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