On Appell sets and Verma modules for sl(2)
Faculty of Sciences. Mathematics and Computer Science
Hypercomplex analysis : new perspectives and applications
9th International Congress of the International Society for Analysis, its Applications and Computations, (ISAAC ), August 05-09, 2013, Pedag Univ Krakow, Krakow, Poland
, p. 111-118
University of Antwerp
The aim of this paper is to introduce a general framework which can be used to generalize both Appell sets in multivariate analysis and special polynomials in a complex variable z is an element of C, inspired by certain special functions appearing in harmonic and Clifford analysis on R-m. As an illustration, we have a closer look at Hermite polynomials.