Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation (Q1378342)
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scientific article; zbMATH DE number 1117496
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation |
scientific article; zbMATH DE number 1117496 |
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Exponentially small corrections to divergent asymptotic expansions of solutions of the fifth Painlevé equation (English)
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29 June 1998
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For the solutions of the fifth Painlevé equation \(P_5\), the authors determine the leading terms of certain asymptotic expansions, which are periodic functions of the coefficients of \(P_5\). For the proofs, the isomonodromy deformation method and the Borel transform are used. The results are related to a connection formula for \(P_3\) and a condition for the existence of rational solutions of \(P_5\).
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Painlevé equations
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asymptotic expansions
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periodic functions
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isomonodromy deformation
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Borel transform
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