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Quadratic transformations for the sixth Painlevé equation

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Abstract

A new type of transformation is found for the Painlevé six equation which can be considered as an analog of the well-known quadratic transformations for hypergeometric functions.

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Authors and Affiliations

  1. Department of Mathematics, Leningrad Institute of Aircraft Instrument Engineering, Gertzen 67, 190000, Leningrad, U.S.S.R.

    A. V. Kitaev

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  1. A. V. Kitaev
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Kitaev, A.V. Quadratic transformations for the sixth Painlevé equation. Lett Math Phys 21, 105–111 (1991). https://doi.org/10.1007/BF00401643

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  • DOI: https://doi.org/10.1007/BF00401643

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