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Generating functions of orthogonal polynomials in higher dimensions
Hendrik De Bie, Dixan Peña Peña, Frank Sommen
In this paper two important classes of orthogonal polynomials in higher dimensions using the framework of Clifford analysis are considered, namely the Clifford-Hermite and the Clif…
Special functions and systems in Hermitian Clifford analysis
Nele De Schepper, Dixan Peña Peña, Frank Sommen
In this paper we study some new special functions that arise naturally within the framework of Hermitian Clifford analysis, which concerns the study of Dirac-like systems in severa…
Vekua-type systems related to two-sided monogenic functions
Dixan Peña Peña, Frank Sommen
Solutions to the Dirac equation are obtained by considering functions of axial type. This indeed gives rise to Vekua systems that can be solved in terms of special functions. In th…
Factorization of the Schrödinger Operator and the Riccati Equation in the Clifford Analysis Setting
Nele De Schepper, Dixan Peña Peña
This paper is devoted to a factorization of the higher dimensional Schrodinger operator in the framework of Clifford analysis.