ON PARTICULAR SOLUTIONS OF THE GARNIER SYSTEMS AND THE HYPERGEOMETRIC FUNCTIONS OF SEVERAL VARIABLES
ON PARTICULAR SOLUTIONS OF THE GARNIER SYSTEMS AND THE HYPERGEOMETRIC FUNCTIONS OF SEVERAL VARIABLES
复制标题
论Garnier系统和多变量超几何函数的特解
DOI：
10.1093/qmath/37.1.61
复制
发表时间：
1986
影响因子：
0.7
通讯作者：
H. Kimura
中科院分区：
文献类型：
--
作者：
Kazuo Okamoto;H. Kimura
众所周知，Painleve方程Pj(J=II，…，VI)在对Pj中的参数有一定限制的情况下，允许用Gauss超几何函数F(a，P，y；x)和合流型函数表示的特解。例如，我们考虑第二个Painleve“方程式：
IT is known that the Painleve'equations Pj (J= II,..., VI) admit, under a certain restriction on the parameters in Pj, particular solutions which are expressed in terms of the Gauss' hypergeometric function F (a, P, y; x) and the functions of the confluent type. For example, we consider the second Painleve" equation: