@article{7f6d0b5706e340d6aea7806ece8d063b, title = "Hypermonogenic solutions and plane waves of the Dirac operator in Rp×Rq", abstract = "In this paper we first define hypermonogenic solutions of the Dirac operator in Rp×Rq and study some basic properties, e.g., obtaining a Cauchy integral formula in the unit hemisphere. Hypermonogenic solutions form a natural function class in classical Clifford analysis. After that, we define the corresponding hypermonogenic plane wave solutions and deduce explicit methods to compute these functions.", keywords = "Cauchy's formula, Hypermonogenic solution, Plane wave", author = "{Guzm{\'a}n Ad{\'a}n}, Al{\'i} and Heikki Orelma and Franciscus Sommen", year = "2019", month = "4", day = "1", doi = "10.1016/j.amc.2018.09.058", language = "English", volume = "346", pages = "1--14", journal = "Applied Mathematics and Computation", issn = "0096-3003", publisher = "Elsevier", }