Geodesic
Antiquantization of deformed Heun-class equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 142-151

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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.
Mots-clés : antiquantization, Heun-class equation
Keywords: deformed Heun-class equation, Painlevé equation. 
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     author = {S. Yu. Slavyanov and O. L. Stesik},
     title = {Antiquantization of deformed {Heun-class} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {142--151},
     publisher = {mathdoc},
     volume = {186},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a8/}
}
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S. Yu. Slavyanov; O. L. Stesik. Antiquantization of deformed Heun-class equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 186 (2016) no. 1, pp. 142-151. http://geodesic.mathdoc.fr/item/TMF_2016_186_1_a8/