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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2017 Volume 13, 069, 8 pp. (Mi sigma1269)
This article is cited in 6 papers

An Elliptic Garnier System from Interpolation

Yasuhiko Yamada

Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan

Abstract: 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.

Keywords: elliptic difference; isomonodromic systems; Lax form; interpolation problem.

MSC: 39A13; 33E05; 33E17; 41A05

Received: June 20, 2017; in final form August 30, 2017; Published online September 2, 2017

Language: English

DOI: 10.3842/SIGMA.2017.069



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