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.

About the authors

S. Yu. Slavyanov

St. Petersburg State University

Author for correspondence.
Email: slav@ss2034.spb.edu
Russian Federation, St. Petersburg

O. L. Stesik

St. Petersburg State University

Email: slav@ss2034.spb.edu
Russian Federation, St. Petersburg

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