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Results tagged with ca.classical-analysis-and-odes
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user 479110
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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What is the 3-dimensional Fourier transform of $1/k^4$?
In electrostatics, we often encounter the following 3-dimensional integral:
\begin{equation}
V=\int d^{3}\vec{k}\,\dfrac{e^{i\vec{k}.\vec{r}}}{|\vec{k}|^{2}}
\end{equation}
which yields the Coulomb po …
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