Clifford分析中的移位Appell序列
Shifted Appell sequences in Clifford analysis
摘要：
本文是[D. Peña Peña，On a sequence of monogenic polynomials satisfying the Appell condition which首项is a常数函数，arXiv：1102.1833]，其中我们证明了对于$\mathbb R^{m+1}$中次数为$k$的每个单演多项式$\mathbf{P}_k(x)$，存在一个满足Appell条件的单演多项式$\{M_n(x)\}_{n\ge0}$序列，使得$M_0(x)=\mathbf{P}_k(x)$ .
英文摘要：
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 $\{M_n(x)\}_{n\ge0}$ satisfying the Appell condition such that $M_0(x)=\mathbf{P}_k(x)$.
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