This paper demonstrates the generalized Rolle theorem and discussed the zero of Legendrepolynomials.
对广义罗尔定理进行了证明，并应用广义罗尔定理讨论了勒让德多项式的零点。
2
The angular coordinate used a DVR based on Legendrepolynomials and the radial coordinates utilized a DVR based on sine basis functions.
角度部分的DVR基组选择勒让德多项式形式，而径向坐标采用正弦函数形式。
3
According to the desired accuracy, we determine the number of terms in the Fourier series and Legendrepolynomials, then the Practical simplified formulae are obtained.