produces oblate spheroidal coordinates. Prolate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the...

produces prolate spheroidal coordinates.) Oblate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which...

Equatorial bulge Great ellipse Lentoid Oblate spheroidal coordinates Ovoid Prolate spheroidal coordinates Rotation of axes Translation of axes Torge, Wolfgang...

The prolate spheroidal wave functions are eigenfunctions of the Laplacian in prolate spheroidal coordinates, adapted to boundary conditions on certain...

spherical coordinates lead to spherical harmonics. They are called oblate spheroidal wave functions if oblate spheroidal coordinates are used and prolate spheroidal...

In mathematics, orthogonal coordinates are defined as a set of d coordinates q = ( q 1 , q 2 , … , q d ) {\displaystyle \mathbf {q} =(q^{1},q^{2},\dots...

{\displaystyle z} -direction. The prolate spheroidal coordinates are produced by rotating the elliptic coordinates about the x {\displaystyle x} -axis...

In applied mathematics, oblate spheroidal wave functions (like also prolate spheroidal wave functions and other related functions) are involved in the...

triangulation network on an ellipsoid is therefore a set of exercises in spheroidal trigonometry (Euler 1755). If the Earth is treated as a sphere, the geodesics...

Neumann that allows expression of 1 / r {\displaystyle 1/r} in prolate spheroidal coordinates as a series: 1 | r − r ′ | = 4 π a ∑ ℓ = 0 ∞ ∑ m = − ℓ ℓ ( −...