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Antiquantization of deformed Heun-class equations

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Abstract

We consider deformed Heun-class equations, i.e., equations of the Heun class with an added apparent singularity. We prove that each deformed Heun-class equation under antiquantization realizes a transfer from the Heun-class equation to the corresponding Painlevé equation, and we completely list such transfers.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    S. Yu. Slavyanov & O. L. Stesik

Authors
  1. S. Yu. Slavyanov
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  2. O. L. Stesik
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Corresponding author

Correspondence to S. Yu. Slavyanov.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 186, No. 1, pp. 142–151, January, 2016.

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Slavyanov, S.Y., Stesik, O.L. Antiquantization of deformed Heun-class equations. Theor Math Phys 186, 118–125 (2016). https://doi.org/10.1134/S0040577916010104

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  • DOI: https://doi.org/10.1134/S0040577916010104

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