A Particular Solution of a Painlevé System in Terms of the Hypergeometric Function {}_{n+1}F_n

Symmetry, Integrability and Geometry: Methods and Applications

关键词: affine Weyl group;    generalized hypergeometric functions;    Painlevé equations;   

DOI  :  

来源: DOAJ

【 摘 要 】

In a recent work, we proposed the coupled Painlevé VI system with A_{2n+1}^{(1)}-symmetry, which is a higher order generalization of the sixth Painlevé 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 Painlevé system derived from the confluence of {}_{n+1}F_n.

【 授权许可】

Unknown