ALMANSI EXPANSIONS FOR POLYNOMIAL DUNKL‑DIRAC OPERATORS IN SUPERSPACE
In this paper, we first study an expansion for the operators where D is the Dunkl-Dirac operator in superspace and l is a complex number. Then we investigate expansions for polynomial Dunkl-Dirac operators in superspace. These expansions are regarded as generalized Almansi expansions in superspace. As an application of the expansions, the generalized Riquier problem in Dunkl superspace is considered.
superspace, polynomial Dunkl-Dirac operator, Almansi expansion, Riquier problem.