## 4 Citations

### Generalized second-order partial derivatives of 1/r

- Mathematics
- 2011

The generalized second-order partial derivatives of 1/r, where r is the radial distance in three dimensions (3D), are obtained using a result of the potential theory of classical analysis. Some…

### Regularization using different surfaces and the second-order derivatives of 1/r

- Mathematics
- 2013

We study the dependence on the surface Σ : g(x) = 1, where g(x) is continuous in ℝ n ∖{0} and homogeneous of degree 1, of the distributional regularization ℛΣ(K(x))∈𝒟′(ℝ n ), of a homogeneous…

### Three-dimensional Fourier transforms, integrals of spherical Bessel functions, and novel delta function identities

- Mathematics
- 2013

We present a general approach for evaluating a large variety of three-dimensional Fourier transforms. The transforms considered include the useful cases of the Coulomb and dipole potentials, and…

### Gravitoelectromagnetism in metric f(R) and Brans–Dicke theories with a potential

- PhysicsGeneral Relativity and Gravitation
- 2019

A Gravitoelectromagnetism formalism in the context of metric f(R) theory is presented and the analogue Lorentz force law is derived. Some interesting results such as the dependence of the deviation…

## References

SHOWING 1-10 OF 17 REFERENCES

### Generalized second-order partial derivatives of 1/r

- Mathematics
- 2011

The generalized second-order partial derivatives of 1/r, where r is the radial distance in three dimensions (3D), are obtained using a result of the potential theory of classical analysis. Some…

### Some novel delta‐function identities

- Mathematics
- 1983

Two novel identities arising from the second‐ and thirdorder derivatives of the reciprocal radial distance and involving delta functions are introduced, proven, and illustrated. A general procedure…

### Delta functions in spherical coordinates and how to avoid losing them: Fields of point charges and dipoles

- Physics
- 2003

In calculations involving the divergence, curl, or Laplacian operators in spherical polar coordinates, the radial delta function contributions are sometimes inadvertently lost. This loss can be…

### Time-dependent fields of a current-carrying wire

- Physics
- 2013

The electric and magnetic fields of an infinite straight wire carrying a steady current which is turned on abruptly are determined using Jefimenko's equations, starting from the standard assumption…

### Classical Electrodynamics

- PhysicsNature
- 1969

Electrodynamics of Particles and PlasmasBy P. C. Clemmow and J. P. Dougherty. (Addison-Wesley Series in Advanced Physics.) Pp. ix + 457. (Addison-Wesley London, September 1969.) 163s.

### The operator ? in orthogonal curvilinear coordinates

- Mathematics
- 2001

It is possible to define a single expression for the operator ? in orthogonal curvilinear coordinates that can fit all common differential operators and vectorial identities.

### On the Laplacian of 1/r

- Mathematics
- 2000

It is pointed out that the distinction between `standard' and `non-standard' representations of the radial delta function (r) emphasized by Menon in a recent paper on the solving of the radial…