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An Elliptic Garnier System from Interpolation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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An Elliptic Garnier System from Interpolation
Інший ID:
2010 Mathematics Subject Classification: 39A13; 33E05; 33E17; 41A05
DOI:10.3842/SIGMA.2017.069
DOI:10.3842/SIGMA.2017.069
Посилання:
An Elliptic Garnier System from Interpolation / Y. Yamada // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 15 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Elliptic Hypergeometric Functions and Their Applications.
The full collection is available at https://www.emis.de/journals/SIGMA/EHF2017.html.
The author is grateful to the organizers and participants of the lecture series at the university
of Sydney (November 28–30, 2016) and the ESI workshop “Elliptic Hypergeometric Functions
in Combinatorics, Integrable Systems and Physics” (Vienna, March 20–24, 2017) for their interests and discussions. He also thanks to referees for valuable comments and Dr. H. Nagao for
discussions. This work is partially supported by JSPS KAKENHI (26287018).
Дата:
2017
Переглядів:
620
Завантажень:
243
Анотація:
Considering a certain interpolation problem, we derive a series of elliptic difference isomonodromic systems together with their Lax forms. These systems give a multivariate extension of the elliptic Painlevé equation.
