Reference for tables of Hankel or spherical Bessel transforms

Question

I am looking for a reference for tables of Hankel/spherical Bessel tranforms. In particular, I'm trying to calculate transforms like \begin{align} f_{LM}(r) & = i^L \sqrt{\frac{2}{\pi}} \int_0^\infty k^2\ dk\ j_L(k r)\ \tilde f_{LM}(k) \\ & = i^L \frac{1}{\sqrt{r}} \int_0^\infty k\ dk\ \sqrt{k} J_{L+1/2}(kr)\ \tilde f_{LM}(k), \end{align} where $j_L(kr)$ is a spherical Bessel function and $J_\nu(kr)$ is a (cylindrical) Bessel function. These are the transforms associated with Fourier transforming a function which has been decomposed into multipoles: \begin{gather} \begin{aligned} f(r,\theta_r,\phi_r) &= \sum_{LM} f_{LM}(r) Y_{LM}(\theta_r,\phi_r), & \tilde{f}(k,\theta_k,\phi_k)&=\sum_{LM}\tilde{f}(k) Y_{LM}(\theta_k,\phi_k), \end{aligned} \\ f(r,\theta_r,\phi_r) = \int \frac{d^3k}{(2\pi)^{3/2}} e^{i \mathbf{k}\cdot\mathbf{r}} \tilde{f}(k,\theta_k,\phi_k). \end{gather} I have tried using Mathematica's HankelTransform function, but it seems to often miss the singular pieces. For instance, with $L=0$, both $$\tilde f_{00}(k) = \frac{1}{k^2+m^2} \quad \text{and} \quad \tilde f_{00}(k) = \frac{-k^2/m^2}{k^2+m^2}$$ give a transform of $$f_{00}(r) = \sqrt{\frac{\pi}{2}}\frac{e^{-m r}}{r},$$ while the second function should give $$f_{00}(r) = \sqrt{\frac{\pi}{2}}\frac{e^{-m r}}{r} - \sqrt{\frac{\pi}{2}}\frac{\delta(r)}{m^2 r^2}.$$