Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation

M. V. Babich; S. Yu Slavyanov

doi:10.1109/DD.2018.8553422

Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation

Research output › › peer-review

Abstract

Famous Painlevé VI equation is connected with the linear differential equations of Fuchsian type by different links. Nevertheless, there is a common point. It is the Hamiltonian nature of the Painlevé equation. We demonstrate how the different normalizations draw us to the different approaches to the problem.

Original language	English
Title of host publication	Proceedings of the International Conference Days on Diffraction, DD 2018
Editors	A.Ya. Kazakov, A.P. Kiselev, L.I. Goray, O.V. Motygin
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	24-26
Number of pages	3
ISBN (Electronic)	9781728103136
DOIs	https://doi.org/10.1109/DD.2018.8553422
Publication status	Published - 29 Nov 2018
Event	International conference Days on Diffraction-2018 - St Petersburg Duration: 4 Jun 2018 → 8 Jun 2018

Conference

Conference	International Conference on Days on Diffraction (DD)
Country	Russian Federation
City	St Petersburg
Period	4/06/18 → 8/06/18

Scopus subject areas

Mechanics of Materials
Safety, Risk, Reliability and Quality
Computational Mathematics
Astronomy and Astrophysics
Radiation

Access to Document

10.1109/DD.2018.8553422

http://www.scopus.com/inward/record.url?scp=85060005698&partnerID=8YFLogxK

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Babich, M. V., & Slavyanov, S. Y. (2018). Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. In A. Y. Kazakov, A. P. Kiselev, L. I. Goray, & O. V. Motygin (Eds.), Proceedings of the International Conference Days on Diffraction, DD 2018 (pp. 24-26). [8553422] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2018.8553422

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title = "Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlev{\'e} PVI equation",

abstract = "Famous Painlev{\'e} VI equation is connected with the linear differential equations of Fuchsian type by different links. Nevertheless, there is a common point. It is the Hamiltonian nature of the Painlev{\'e} equation. We demonstrate how the different normalizations draw us to the different approaches to the problem.",

author = "Babich, {M. V.} and Slavyanov, {S. Yu}",

year = "2018",

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doi = "10.1109/DD.2018.8553422",

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booktitle = "Proceedings of the International Conference Days on Diffraction, DD 2018",

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note = "International Conference on Days on Diffraction (DD) ; Conference date: 04-06-2018 Through 08-06-2018",

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Babich, MV & Slavyanov, SY 2018, Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. in AY Kazakov, AP Kiselev, LI Goray & OV Motygin (eds), Proceedings of the International Conference Days on Diffraction, DD 2018., 8553422, Institute of Electrical and Electronics Engineers Inc., pp. 24-26, International conference Days on Diffraction-2018, St Petersburg, 4/06/18. https://doi.org/10.1109/DD.2018.8553422

Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. / Babich, M. V.; Slavyanov, S. Yu.

Proceedings of the International Conference Days on Diffraction, DD 2018. ed. / A.Ya. Kazakov; A.P. Kiselev; L.I. Goray; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. p. 24-26 8553422.

Research output › › peer-review

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T1 - Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation

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AU - Slavyanov, S. Yu

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