The meromorphy of solutions of the second Painlevé equation (Q2780892)
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scientific article; zbMATH DE number 1720099
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The meromorphy of solutions of the second Painlevé equation |
scientific article; zbMATH DE number 1720099 |
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29 July 2003
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Painlevé equation
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meromorphic solution
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0.9408999
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0.93530416
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0.93512344
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0.93089503
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0.92737895
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0.9245068
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The meromorphy of solutions of the second Painlevé equation (English)
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It is proved in detail that the local solution to the second Painlevé equation is a meromorphic function with a simple pole and that the local solution can be meromorphic continued into the whole complex plane. \textit{A. Hinkkanen} and \textit{I. Laine} had given a rigorous proof for the meromorphy of the first and second Painlevé equation [J. Anal. Math. 79, 345-377 (1999; Zbl 0986.34074)].
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