2 citations · 3 across the 5 of their papers we have counts for
5 papers
Fueter's theorem for monogenic functions in biaxial symmetric domains
Dixan Peña Peña, Irene Sabadini, Franciscus Sommen
In this paper we generalize the result on Fueter's theorem from [10] by Eelbode et al. to the case of monogenic functions in biaxially symmetric domains. To obtain this result, Eel…
Biaxial monogenic functions from Funk-Hecke's formula combined with Fueter's theorem
Dixan Peña Peña, Frank Sommen
Funk-Hecke's formula allows a passage from plane waves to radially invariant functions. It may be adapted to transform axial monogenics into biaxial monogenics that are monogenic f…
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…
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…
Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution
Dixan Peña Peña, Frank Sommen
In this paper we present a closed formula for the CK-extension of the Gaussian distribution in , and the monogenic version of the holomorphic function …