A Particular solution of a Painleve system in terms of the hypergeometric function (n+1)F(n)
2010
In a recent work, we proposed the coupled Painleve VI system with A (1)n+1 - symmetry, which is a higher order generalization of the sixth Painleve equation (PVI). In this article, we present its particular solution expressed in terms of the hypergeometric function n+1Fn. We also discuss a degeneration structure of the Painleve system derived from the confluence of n+1Fn.
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