# A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function n+1 F n

@article{Suzuki2010APS, title={A Particular Solution of a Painlev{\'e} System in Terms of the Hypergeometric Function n+1 F n}, author={Takao Suzuki}, journal={Symmetry Integrability and Geometry-methods and Applications}, year={2010}, volume={6}, pages={078} }

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.

## 16 Citations

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