%0 Journal Article
%T A Particular Solution of a Painlev¨¦ System in Terms of the Hypergeometric Function {}_{n+1}F_n
%A Takao Suzuki
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X In a recent work, we proposed the coupled Painlev¨¦ VI system with A_{2n+1}^{(1)}-symmetry, which is a higher order generalization of the sixth Painlev¨¦ equation (P_{VI}). In this article, we present its particular solution expressed in terms of the hypergeometric function {}_{n+1}F_n. We also discuss a degeneration structure of the Painlev¨¦ system derived from the confluence of {}_{n+1}F_n.
%K affine Weyl group
%K generalized hypergeometric functions
%K Painlev¨¦ equations
%U http://dx.doi.org/10.3842/SIGMA.2010.078