By using some formulae of confluent hyper-geometric function, the results of radial operators on the normalizing radial wave function of a 3-D isotropic harmonic oscillator are derived, and the ladder operators are given to calculate the matrix elements.

• 摘要利用合流超几何函数的递推关系式得到径向算符对归一化径向函数的作用结果，得出其升降算符通项，便于求解矩阵元。