@inproceedings{CacaoConstalesKrausshar, author = {Cacao, Isabel and Constales, Denis and Kraußhar, Rolf S{\"o}ren}, title = {A UNIFIED APPROACH FOR THE TREATMENT OF SOME HIGHER DIMENSIONAL DIRAC TYPE EQUATIONS ON SPHERES}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, issn = {1611-4086}, doi = {10.25643/bauhaus-universitaet.2834}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28343}, pages = {8}, abstract = {Using Clifford analysis methods, we provide a unified approach to obtain explicit solutions of some partial differential equations combining the n-dimensional Dirac and Euler operators, including generalizations of the classical time-harmonic Maxwell equations. The obtained regular solutions show strong connections between hypergeometric functions and homogeneous polynomials in the kernel of the Dirac operator.}, subject = {Angewandte Informatik}, language = {en} }