Inverse polynomial expansions of Laurent series II
Inverse polynomial expansions of Laurent series II
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DOI：
10.1016/0377-0427(89)90337-3
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发表时间：
1989-12
影响因子：
2.4
通讯作者：
A. Knopfmacher;J. Knopfmacher
中科院分区：
文献类型：
--
作者：
A. Knopfmacher;J. Knopfmacher
本文给出了一种算法，并证明了该算法可将形式洛朗级数的各种特殊的、唯一的级数展开式，化为多项式的倒数之和。研究了这些级数的部分和的有理函数的逼近阶。与有理函数本身相对应的级数类型也被部分地刻画了。
An algorithm is considered, and shown to lead to various unusual and unique series expansions of formal Laurent series, as the sums of reciprocals of polynomials. The degrees of approximation by the rational functions which are the partial sums of these series are investigated. The types of series corresponding to rational functions themselves are also partially characterized.