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It is known that the Painleve VI is obtained by connection preservingdeformation of some linear differential equations, and the Heun equation isobtained by a specialization of the linear differential equations. Weinverstigate degenerations of the Ruijsenaars-van Diejen difference opearatorsand show difference analogues of the Painleve-Heun correspondence.

Degenerations of Ruijsenaars-van Diejen operator and q-Painleve equations