Asymptotic solutions of the discrete Painlevé equation of second type (Q2090562)

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scientific article; zbMATH DE number 7606806
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Asymptotic solutions of the discrete Painlevé equation of second type
scientific article; zbMATH DE number 7606806

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    Asymptotic solutions of the discrete Painlevé equation of second type (English)
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    25 October 2022
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    Several classes of asymptotic solutions of the discrete Painlevé equation of second type (dPII) for large values of the independent variable are found. The cases of complex and real solutions are considered, as well as special solutions related to symmetric group representations.
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    discrete Painlevé equation of second type
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    Painlevé transcendents
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    asymptotic solutions
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    elliptic functions
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    symmetric group representations
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