三区间复合型超几何方程边值问题解的相似结构

Similar Structure of Solutions to Boundary Value Problems of Three-Interval Composite Hypergeometric Equations

通过观察“三区间复合型超几何方程的边值问题”的解的表达式,发现其在3个区间解的表达式均具有一定的相似性,仅仅只是3个区间对应的相似核函数不同,由此得到求解这类边值问题的一种新方法:相似构造法。利用该方法可以极大地简化求解三区间复合型超几何方程边值问题的求解过程。

By observing the solution expressions of"boundary value problems of compound hypergeometric equations with three intervals",it is found that all the solution expressions in the three intervals have certain similarities,only the similar kernel functions corresponding to the three intervals are different.Therefore,a new method to solve this kind of boundary value problems-"similarity construction method"is obtained.