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LegendreQ

Usage

LegendreQ[n, z] 给出第二类  的Legendre函数。
LegendreQ[n, m, z] 第二类  的关联的Legendre函数。


Notes

• 数学函数(参见 节 A.3.10).
• 对整数 nm, 给出明确的公式。
• Legendre函数满足微分方程  .
LegendreQ[n, m, a, z] 给出a型的Legendre函数。缺省是1型。
• 1, 2 和 3 LegendreQ 根据这些类型的LegendreP定义,并有相同的分支线结构。
• 参见 Mathematica 全书: 3.2.10.
Further Examples

This gives the second associated Legendre function of the second kind in the variable z.

In[1]:=  

Out[1]=

This gives the first associated Legendre function of the second kind.

In[2]:=  

Out[2]=

This is the derivative.

In[3]:=  

Out[3]=

This is a series expansion around  .

In[4]:=  

Out[4]=



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