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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 1, Pages 142–151
DOI: https://doi.org/10.4213/tmf8974 (Mi tmf8974) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Antiquantization of deformed Heun-class equations

S. Yu. Slavyanov, O. L. Stesik

Saint Petersburg State University, Saint Petersburg, Russia
Full-text PDF (313 kB) Citations (17)
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DOI: https://doi.org/10.4213/tmf8974
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.
Keywords: antiquantization, Heun-class equation, deformed Heun-class equation, Painlevé equation.
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 1, Pages 118–125
DOI: https://doi.org/10.1134/S0040577916010104
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Yu. Slavyanov, O. L. Stesik, “Antiquantization of deformed Heun-class equations”, TMF, 186:1 (2016), 142–151; Theoret. and Math. Phys., 186:1 (2016), 118–125
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8974
  • https://doi.org/10.4213/tmf8974
  • https://www.mathnet.ru/eng/tmf/v186/i1/p142
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :258
    References:75
    First page:42
     
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