A symbolic generation of Painlevé equations is developed on the basis of the antiquantization of deformed Heun-class equations. The corresponding CAS Maple package is presented, along with examples of its use. The particular cases of reduced confluent Heun equations are discussed.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 448, 2016, pp. 263–269.
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Slavyanov, S.Y., Stesik, O.L. Symbolic Generation of Painlevé Equations. J Math Sci 224, 345–348 (2017). https://doi.org/10.1007/s10958-017-3420-6
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DOI: https://doi.org/10.1007/s10958-017-3420-6