Title: Bessel functions and higher dimensional Dirac type equations Authors: Cacao, Isabel ×Constales, DenisKrausshar, Rolf Sören # Issue Date: Jul-2006 Publisher: Bauhaus Universitaet Weimar Host Document: Proceedings 17th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering Conference: International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering edition:17 date:12-14 July 2006 Article number: 133 Abstract: In this paper we study the structure of the solutions to higher dimensional Dirac type equations generalizing the known Dirac equation $(D - \lambda)f = 0$, where is a complex parameter. The structure of the solutions to this system of partial differential equations show a close connection with Bessel functions of first kind with complex argument. The more general system of partial differential equations that is considered in this paper combines Dirac and Euler operators and emphasizes the role of the Bessel functions. However, contrary to the simplest case, one gets now Bessel functions of any arbitrary complex order. Description: Paper electronically available at: http://euklid.bauing.uni-weimar.de/ikm2006-cd (8 pages) Publication status: published KU Leuven publication type: IC Appears in Collections: Analysis Section