In mathematics, an eigenfunction of a linear operator D defined on some
function space is any non-zero function f {\displaystyle f} in that space
that, when acted upon by D , is only multiplied by some scaling factor
called an eigenvalue. As an equation, this condition can be written as
for some scalar eigenvalue λ . {\displaystyle \lambda .} The solutions to
this equation may also be subject to boundary conditions that limit the
allowable eigenvalues and eigenfunctions.
An eigenfunction is a type of eigenvector.
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