A nearness result for PC-fractions (Q1176962)
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scientific article; zbMATH DE number 12749
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nearness result for PC-fractions |
scientific article; zbMATH DE number 12749 |
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A nearness result for PC-fractions (English)
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25 June 1992
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A PC fraction is a continued fraction of a particular form. The sequence of even (resp. odd) \(n\)th approximates of the PC fraction corresponds to a unique formal power series \(L_ e\) (resp., \(L_ 0)\). It is shown that if the parameters of the fraction tend to zero sufficiently fast, then \(L_ e\) and \(L_ 0\) represent holomorphic functions on a neighborhood of zero and infinity respectively. This is a partial converse of a theorem by the same authors.
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PC fraction
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