An Elliptic Garnier System from Interpolation

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.

References in corpus (3)

• Essays on the theory of elliptic hypergeometric functions
• A Lax Formalism for the Elliptic Difference Painlevé Equation
• Padé interpolation for elliptic Painlevé equation

Cited by in corpus (2)

• On determinant representation and integrability of Nekrasov functions
• A Variation of the $q$-Painlevé System with Affine Weyl Group Symmetry of Type $E_7^{(1)}$