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So, I am trying to work in Spherical coordinates. I have a predefined fixed axis, $\hat{v}_0$, so that $\alpha=\vec{r}.\hat{v}_0$ Now, I am interested in the following: \begin{equation} f(r,\alpha)=\partial_{i}\partial_{j}\frac{\partial^2}{\partial^2 \alpha}\frac{\sin(kr)}{r}. \end{equation}

How do I find $f(r,\alpha)$? I have no clue how to proceed?

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    $\begingroup$ Can't you just use $\partial_\alpha = \hat{v}_0 \cdot \vec{\nabla}$? $\endgroup$
    – Brian Moths
    Commented Sep 29, 2015 at 17:37
  • $\begingroup$ But, how would I deal with the $\partial_i\partial_j$ part after carrying out $\hat{v}_o.\left(\vec{\nabla}(\sin(kr)/r)\right)$? $\endgroup$
    – titanium
    Commented Sep 29, 2015 at 20:00

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