Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation (Q1884460)
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scientific article; zbMATH DE number 2113010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation |
scientific article; zbMATH DE number 2113010 |
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Integral representation for Borel sum of divergent solution to a certain non-Kowalevski type equation (English)
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1 November 2004
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The author investigates necessary and sufficient conditions for the Borel summability of a formal power series solution with respect to the time variable of a Cauchy problem, which is divergent in general. He gives an integral representation of the Borel sum by using kernel functions which are given by Meijer's \(G\)-function or the generalized hypergeometric functions of confluent type.
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Borel summability
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Non-Kowalevski type equation
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power series solution.
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0.91998976
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0.88779724
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0.8780342
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0.8757849
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0.87558687
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0.8736301
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