Pringsheim's theorem revisited (Q1119843)
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scientific article; zbMATH DE number 4097953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pringsheim's theorem revisited |
scientific article; zbMATH DE number 4097953 |
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Pringsheim's theorem revisited (English)
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1989
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Pringsheim's 1899 theorem on the convergence of continued fractions may be reformulated, using a theorem of Pincherle, as a result on second order linear recurrence relations. Using the theory of diagonally dominant matrices, the present paper gives a generalization to linear recurrence relations of order p.
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convergence of continued fractions
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second order linear recurrence relations
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diagonally dominant matrices
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