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}
}
  • Takao Suzuki
  • Published 1 April 2010
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
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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