On the acceleration of limit periodic continued fractions (Q1059361)
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scientific article; zbMATH DE number 3903828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the acceleration of limit periodic continued fractions |
scientific article; zbMATH DE number 3903828 |
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On the acceleration of limit periodic continued fractions (English)
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1984
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For \(a\in {\mathbb{C}}\) and \(a>-1/4\), \(a\neq 0\), a modification of a limit periodic continued fraction for accelerating the convergence is known. This acceleration remains modest if this convergence is only logarithmic. The authors propose to apply an Euler summability method to the series equivalent to the continuous fraction.
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limit periodic continued fractions
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Euler summability method
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convergence acceleration
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logarithmic convergence
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