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Additional
Legendre polynomials
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Legendre polynomials
In
mathematics
,
Legendre functions
are solutions to
Legendre's differential equation
:
They are named after
Adrien-Marie Legendre
. This
ordinary differential equation
is frequently encountered in
physics
and other technical fields. In particular, it occurs when solving
Laplace's equation
(and related
partial differential equations
) in
spherical coordinates
.
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