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Inverse polynomial expansions of Laurent series. II. (English) Zbl 0684.30030

An algorithm is given, and shown to lead to various 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. The first paper of this sequence appeared in Constructive Approximation 4, 379-389 (1988; Zbl 0659.41024).
Reviewer: N.M.Temme

MSC:

30E10 Approximation in the complex plane
30B10 Power series (including lacunary series) in one complex variable
41A25 Rate of convergence, degree of approximation

Citations:

Zbl 0659.41024
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References:

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