Перегляд за автором "Rains, E.M."

Результати 1-3 з 3

An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)

Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

We construct a family of second-order linear difference equations parametrized by the hypergeometric solution of the elliptic Painlevé equation (or higher-order analogues), and admitting a large family of monodromy-preserving ...
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions

van de Bult, F.J.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)

We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function ...
Commutation Relations and Discrete Garnier Systems

Ormerod, C.M.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)

We present four classes of nonlinear systems which may be considered discrete analogues of the Garnier system. These systems arise as discrete isomonodromic deformations of systems of linear difference equations in which ...

Результати 1-3 з 3

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