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AppellF1

Usage

AppellF1[a,  ,  , c, x, y] 是二维变量的 Appell 超几何函数 .


Notes

• 数学函数(参见 A.3.10)
 具有级数展开式 .
• 当    简化为 .
AppellF1[a,  ,  , c, x, y] 在二维复平面   处有奇异线, 并且沿    的射线,具有不连续分支线.
FullSimplifyFunctionExpand包含用于AppellF1的变换法则.
• 参见 Mathematica 全书:3.2.10节.
• 同时参见: Hypergeometric2F1.
Further Examples

Here the derivative with respect to x.

In[1]:=  

Out[1]=

Special cases of AppellF1 can reduce to less general functions.

In[2]:=  

Out[2]=

In[3]:=  

Out[3]=

In[4]:=  

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In[5]:=  

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In[6]:=  

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