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HermiteH

Usage

HermiteH[n, x] 给出厄密特多项式  .


Notes

• 数学函数 (参见 A.3.10节). • 对非负整数n给出了明确的多项式。
• 厄密特多项式满足微分方程 . • 它们是在区间 有权函数  的正交多项式。
HermiteH[n, x] 是一个 x 的没有不连续分支线的整函数。
• 参见 Mathematica 全书: 3.2.9.
• 同时参见: LaguerreL.
Further Examples

This is the derivative.

In[1]:=  

Out[1]=

This is the second derivative

In[2]:=  

Out[2]=

This verifies the defining differential equation for n = 3.

In[3]:=  

Out[3]=

This is a series expansion around  .

In[4]:=  

Out[4]=



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