arXiv subjects

Minggang Fei

Publications and source records attributed to Minggang Fei.

2 recordsLinked to original sources

arXiv2011

Hermite Polynomials in Dunkl-Clifford Analysis

In this paper we present a generalization of the classical Hermite polynomials to the framework of Clifford-Dunkl operators. Several basic properties, such as orthogonality relations, recurrence formulae and associated differential equations, are established. Finally, an orthonormal basis for the Hilbert modules arising from the corresponding weight measures is studied.

math.CV↗

arXiv2011

A Generalization of Fueter's Theorem in Dunkl-Clifford Analysis

In this paper we first offer an alternative approach to extend the original Fueter's Theorem in Dunkl-Clifford analysis to a version of the higher order case. Then this result is used to prove a generlized version of Fueter's Theorem with an extra homogeneous Dunkl-monogenic polynomial $P_n(x_0,\underline{x})$ in $\R_1^d$ instead of the classical factor $P_n(\underline{x})$ in $\R^d$.

math.CV↗