Shifted Appell sequences in Clifford analysis

Abstract

This paper is a continuation of [D. Peña Peña, On a sequence of monogenic polynomials satisfying the Appell condition whose first term is a non-constant function, arXiv:1102.1833], in which we prove that for every monogenic polynomial ${\mathbf{P}}_k(x)$ of degree $k$ in ${\mathbb{R}}^{m+1}$ there exists a sequence of monogenic polynomials $\{M_n(x){\}}_{n\ge 0}$ satisfying the Appell condition such that $M_0(x)={\mathbf{P}}_k(x)$.

8 pages

References in corpus (1)

• The Gelfand-Tsetlin bases for spherical monogenics in dimension 3