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arxiv: 1102.4373 · v1 · pith:7KLOVTADnew · submitted 2011-02-21 · 🧮 math.CV

Shifted Appell sequences in Clifford analysis

classification 🧮 math.CV
keywords appellmonogenicconditionmathbfpolynomialssatisfyingsequenceanalysis
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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 $\mathbf{P}_k(x)$ of degree $k$ in $\mathbb R^{m+1}$ there exists a sequence of monogenic polynomials $\{M_n(x)\}_{n\ge0}$ satisfying the Appell condition such that $M_0(x)=\mathbf{P}_k(x)$.

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