Construction of hypergeometric solutions to the q-Painleve equations
Construction of hypergeometric solutions to the q-Painleve equations
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DOI：
10.1155/imrn.2005.1439
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发表时间：
2005-01
影响因子：
1
通讯作者：
K. Kajiwara;T. Masuda;M. Noumi;Y. Ohta;Y. Yamada
中科院分区：
文献类型：
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作者：
K. Kajiwara;T. Masuda;M. Noumi;Y. Ohta;Y. Yamada
q-Painlev\'e 方程的超几何解通过离散 Riccati 方程的直接线性化来构造。解耦因子被明确确定，以便线性系统产生 q 超几何方程。
Hypergeometric solutions to the q-Painlev\'e equations are constructed by direct linearization of disrcrete Riccati equations. The decoupling factors are explicitly determined so that the linear systems give rise to q-hypergeometric equations.