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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 3, Pages 355–364
DOI: https://doi.org/10.4213/tmf2040 (Mi tmf2040) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Integral transformation of solutions for a Fuchsian-class equation corresponding to the Okamoto transformation of the Painlevé VI equation

D. P. Novikov

Omsk State Technical University
Full-text PDF (176 kB) Citations (14)
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DOI: https://doi.org/10.4213/tmf2040
Abstract: We show that under the Euler integral transformation with the kernel $(x-z)^{-\alpha}$, some solutions of the Fuchs equations (the original pair for the Painlevé VI equation) pass into solutions of a system of the same form with the parameters changed according to the Okamoto transformation.
Keywords: Painlevé VI equation, Heun equation, Euler integral transformation, Schlesinger transformation, Okamoto transformation.
Received: 03.03.2005
Revised: 18.08.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 3, Pages 295–303
DOI: https://doi.org/10.1007/s11232-006-0040-6
Bibliographic databases:
Language: Russian
Citation: D. P. Novikov, “Integral transformation of solutions for a Fuchsian-class equation corresponding to the Okamoto transformation of the Painlevé VI equation”, TMF, 146:3 (2006), 355–364; Theoret. and Math. Phys., 146:3 (2006), 295–303
Citation in format AMSBIB
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    • This publication is cited in the following 14 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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