On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line (Q761560)
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scientific article; zbMATH DE number 3886210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line |
scientific article; zbMATH DE number 3886210 |
Statements
On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line (English)
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1984
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Für Reihen nach Polynomen, die relativ zu gewissen Gewichtsfunktionen orthonormal sind, wird die Existenz von zwei horizontalen Parallelstreifen nachgewiesen, derart daß unter einer gewissen Wachstumsbedingung für die Koeffizienten die Reihe in dem einen Streifen absolut und kompakt konvergiert, während sie außerhalb des anderen divergiert.
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domain of convergence
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0.9145605
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0.8944224
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0.89067256
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0.88652635
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0.8854005
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