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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 3, Pages 401–408
DOI: https://doi.org/10.4213/tmf9382 (Mi tmf9382) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Symmetries and apparent singularities for the simplest Fuchsian equations

S. Yu. Slavyanov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (365 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf9382
Abstract: We consider the simplest Fuchsian second-order equations with particular attention to the role of apparent singularities. We show the relation to the Painlevé equation and follow the matrix formulation of the problem.
Keywords: hypergeometric equation, Heun equation, deformed Heun equation, antiquantization, Painlevé equation.
Received: 14.04.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 3, Pages 1754–1760
DOI: https://doi.org/10.1134/S0040577917120030
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Yu. Slavyanov, “Symmetries and apparent singularities for the simplest Fuchsian equations”, TMF, 193:3 (2017), 401–408; Theoret. and Math. Phys., 193:3 (2017), 1754–1760
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf9382
  • https://doi.org/10.4213/tmf9382
  • https://www.mathnet.ru/eng/tmf/v193/i3/p401
    • This publication is cited in the following 6 articles:
    1. A. M. Ishkhanyan, “Generalized hypergeometric solutions of the Heun equation”, Theoret. and Math. Phys., 202:1 (2020), 1–10  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. S. Slavyanov, O. Stesik, “Antiquantization as a specific way from the statistical physics to the regular physics”, Physica A, 521 (2019), 512–518  crossref  mathscinet  isi  scopus
    3. M. Babich, S. Slavyanov, “Antiquantization, isomonodromy, and integrability”, J. Math. Phys., 59:9, SI (2018), 091416  crossref  mathscinet  zmath  isi  scopus
    4. M. V. Babich, S. Yu. Slavyanov, “Fuchsian Heun equation, equivalent Fuchsian linear systems and Painleve PVI equation”, 2018 Days on Diffraction (DD), eds. O. Motygin, A. Kiselev, L. Goray, A. Kazakov, A. Kirpichnikova, M. Perel, IEEE, 2018, 24–26  crossref  isi
    5. M. V. Babich, S. Yu. Slavyanov, “Links from second-order Fuchsian equations to first-order linear systems”, J. Math. Sci. (N. Y.), 240:5 (2019), 646–650  mathnet  mathnet  crossref  mathscinet  scopus
    6. S. Yu. Slavyanov, A. A. Salatich, “Confluent Heun equation and confluent hypergeometric equation”, J. Math. Sci. (N. Y.), 232:2 (2018), 157–163  mathnet  crossref
    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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    Abstract page:343
    Full-text PDF :131
    References:62
    First page:30
     
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