English

Shifted Appell sequences in Clifford analysis

Complex Variables 2011-02-23 v1

Abstract

This paper is a continuation of [D. Pe\~{n}a Pe\~{n}a, 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 Pk(x)\mathbf{P}_k(x) of degree kk in Rm+1\mathbb R^{m+1} there exists a sequence of monogenic polynomials {Mn(x)}n0\{M_n(x)\}_{n\ge0} satisfying the Appell condition such that M0(x)=Pk(x)M_0(x)=\mathbf{P}_k(x).

Keywords

Cite

@article{arxiv.1102.4373,
  title  = {Shifted Appell sequences in Clifford analysis},
  author = {Dixan Peña Peña},
  journal= {arXiv preprint arXiv:1102.4373},
  year   = {2011}
}

Comments

8 pages

R2 v1 2026-06-21T17:29:41.609Z