TY - CONF A1 - Falcão, M. Irene A1 - Cruz, J. F. A1 - Malonek, Helmuth Robert A2 - Gürlebeck, Klaus A2 - Könke, Carsten T1 - REMARKS ON THE GENERATION OF MONOGENIC FUNCTIONS N2 -  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 finally 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. Formula que se usa em preprints e artigos da nossa UI&D (acho demasiado completo): Partially supported by the R\&D unit \emph{Matem\'atica a Aplica\c\~es} (UIMA) of the University of Aveiro, through the Portuguese Foundation for Science and Technology (FCT), co-financed by the European Community fund FEDER. KW - Architektur KW - CAD KW - Computerunterstütztes Verfahren Y1 - 2006 UR - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2939 UR - https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170327-29390 UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html ER -