Special functions as solutions to discrete Painleve equations

[摘要] We present results on special solutions of discrete Painleve equations. These solutions exist only when one constraint among the parameters of the equation is satisfied and are obtained through the solutions of linear second-order (discrete) equations. These linear equations define the discrete analogues of special functions. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-11-01

[效力级别]  Proceedings Paper

[关键词] special functions;Painleve equations;second-order discrete equations