On Complete Sets of Hypercomplex Appell Polynomials
On Complete Sets of Hypercomplex Appell Polynomials
复制标题
论超复阿佩尔多项式的完备集
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
H. Malonek
中科院分区：
文献类型：
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作者：
I. Cação;H. Malonek
构造了一族超复Appell多项式及其相应的指数型母函数.这种方法的扩展导致一套完整的单演Appell多项式的建设。此外，它示出了如何获得Appell家庭与Riesz系统的完整的解决方案。
We construct a family of hypercomplex Appell polynomials and it corresponding generating function of exponential type. An extension of this approach leads to the construction of a complete set of monogenic Appell polynomials. Moreover, it is shown how the obtained Appell family is connected with complete sets of solutions of the Riesz system.