Hough Function
The
Hough functions
in
applied mathematics
are the
eigenfunctions
of
Laplace's tidal equations
which govern fluid motion on a rotating sphere. As such, they are important in
geophysics
and
meteorology
where they form part of the solutions for
atmospheric and ocean waves
. Each Hough mode is a function of
latitude
and
longitude
; the functions are
orthogonal
over the sphere in the continuous case. Thus they can also be thought of as a
generalized Fourier series
in which the
basis functions
are the
normal modes
of a resting atmosphere.
Related articles
Legendre polynomials
Primitive equations
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