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EllipticK

Usage

EllipticK[m] 用来给出第一类完全椭圆积分  .


Notes

• 数学函数(参见 A.3.10节).
EllipticK 根据第一类不完全椭圆积分通过  等式给出.
• 参见3.2.11节对椭圆积分参数约定的讨论.
EllipticK[m] 在的复平面m 上从   具有一条不连续分支线.
• 参见Mathematica 全书:3.2.11节.
• 同时参见: JacobiZeta, EllipticNomeQ.
Further Examples

The complete elliptic integral of the first kind,  , is a particular case of the hypergeometric function.

In[1]:=  

Out[1]=

This is the derivative.

In[2]:=  

Out[2]=

The function has a singularity at  .

Evaluate the cell to see the graphic.

In[3]:=  



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