Special functions and systems in Hermitian Clifford analysis

Presenter: Dixan Peña Peña, Ghent University, Belgium

Joint work with Nele De Schepper, Frank Sommen

In this talk, we present some new special functions that arise naturally within the framework of Hermitian Clifford analysis, which concerns the study of Dirac-like systems in several complex variables. In particular, we focus on Hermite polynomials, Bessel functions, and generalized powers. We also derive a Vekua-type system for solutions of Hermitian systems in axially symmetric domains.