计算梅林变换
用 MellinTransform 计算一个函数的梅林 (Mellin) 变换.
In[1]:=
![Click for copyable input](assets.zh/compute-a-mellin-transform/In_1.png)
MellinTransform[E^(-a x), x, s]
Out[1]=
![](assets.zh/compute-a-mellin-transform/O_1.png)
对不同 a 值的结果绘图.
In[2]:=
![Click for copyable input](assets.zh/compute-a-mellin-transform/In_2.png)
MellinTransform[E^(-a x), x, s];
Plot[Table[% , {a, 1, 2, 1/4}] // Evaluate, {s, 0, 4}]
Out[2]=
![](assets.zh/compute-a-mellin-transform/O_2.png)
生成计算结果的有效性条件.
In[3]:=
![Click for copyable input](assets.zh/compute-a-mellin-transform/In_3.png)
MellinTransform[E^(-a x), x, s, GenerateConditions -> True]
Out[3]=
![](assets.zh/compute-a-mellin-transform/O_3.png)
计算多元梅林变换.
In[4]:=
![Click for copyable input](assets.zh/compute-a-mellin-transform/In_4.png)
MellinTransform[Cos[x - y^2], {x, y}, {s, t}]
Out[4]=
![](assets.zh/compute-a-mellin-transform/O_4.png)
创建一个基本梅林变换的表格.
显示完整的 Wolfram 语言输入
Out[5]//TraditionalForm=
![](assets.zh/compute-a-mellin-transform/O_5.png)