Correction to ``Cayley's Problem'' (Q1175702)
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scientific article; zbMATH DE number 14363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Correction to ``Cayley's Problem'' |
scientific article; zbMATH DE number 14363 |
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Correction to ``Cayley's Problem'' (English)
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25 June 1992
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The note concerns a mathematically invalid assertion in the author's own paper [Apl. Mat. 35, No. 2, 140-146 (1990; Zbl 0709.39001)] on finding the analytic solutions of the equation \(z_{n+1}=(2z^ 3_ n+1)/3z^ 2_ n\). This equation arises by applying Newton's method to solve the equation \(z^ 3-1=0\).
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Cayley's problem
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recurrence relations
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analytic solution
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difference equation
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Newton's method
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