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PolyLog

Usage

PolyLog[n, z] 给出多对数函数 .
PolyLog[n, p, z] 给出Nielsen一般多对数函数


Notes

• 数学函数(参见 节 A.3.10).
 .
 .
 .
PolyLog[n, z] 在复 z 平面上从   有一个不连续分支线。
FullSimplifyFunctionExpand 包括对的变换规则.
• 参见 Mathematica 全书: 3.2.10.
• 实现注释: 参见节 A.9.4.
• 同时参见: Zeta, PolyGamma, LerchPhi.
Further Examples

This is the derivative.

In[1]:=  

Out[1]=

This is the series expansion around  to order  .

In[2]:=  

Out[2]=

This is the derivative of the generalized polylogarithm.

In[3]:=  

Out[3]=

Here is the series expansion for the generalized polylogarithm around  to order  .

In[4]:=  

Out[4]=

You can use FunctionExpand to simplify this expression.

In[5]:=  

Out[5]=



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