36 questions linked to/from Having the derivative be an operator
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### How to define a differential operator in Mathematica? [duplicate]

I want to define an operator $(\partial_{t}+1)^{2}=\partial_{t}\partial_{t}+2\partial_{t}+1$. Then, I want it to act on $t$. My code looks like this: ...
1 vote
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### Writing (differential) operators [duplicate]

I would like to apply the differential operator $- (\partial_\theta -\frac{i}{\sin (\theta)} \partial_\phi + s \cot (\theta))$ to a function $F$ (Spherical Harmonics), which is dependent on $\theta$ ...
• 987
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### Differential equations expressed in operator form [duplicate]

Is it possible to make a workable operator representation of differential equations in Mathematica? I think it would make solving my differential equations easier, but I have no idea how to do it. ...
1 vote
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### How to compute the composition of linear differential operator [duplicate]

For example, I have to write down the differential operator below as a polynomial in $\partial$ $$(\partial-f_n(x))(\partial-f_{n-1}(x))\cdots(\partial-f_1(x))$$where the product the the composition. ...
• 117
1 vote
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### Operator valued functions [duplicate]

For some parts of physics it is useful to define an operator valued function Take for example R[K_] := Sum[K[[j]] D[#, K[[j]]], {j, 1, 4}] It is supposed to be ...