Symmetries and apparent singularities for the simplest Fuchsian equations (Q1708352)

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scientific article; zbMATH DE number 6856167
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Symmetries and apparent singularities for the simplest Fuchsian equations
scientific article; zbMATH DE number 6856167

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    Symmetries and apparent singularities for the simplest Fuchsian equations (English)
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    5 April 2018
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    In this paper, the author studies the problem when apparent singularities appear after differentiation of the hypergeometric equation and the Heun equation. He also gives a relation between the Heun equation and the sixth Painlevé equation. Linear systems related to the hypergeometric equation and the so-called deformed Heun equation are also presented.
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    hypergeometric equation
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    Heun equation
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    deformed Heun equation
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    antiquantization
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    Painlevé equation
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