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Solutions of the first and second Painlevé equations are meromorphic - MaRDI portal

Solutions of the first and second Painlevé equations are meromorphic (Q5943740)

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scientific article; zbMATH DE number 1647638
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Solutions of the first and second Painlevé equations are meromorphic
scientific article; zbMATH DE number 1647638

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    Solutions of the first and second Painlevé equations are meromorphic (English)
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    17 September 2001
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    Here, the authors point out the gaps in the existing proofs for the meromorphic nature of solutions to Painlevé equations and give a new proof of this for the first and second equations based on their new method of estimating the coefficients of the power series.
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    solutions
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    Painlevé equations
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