An eigenfunction of a linear operator 
on a function space is
a nonzero function 
satisfying 
for some scalar 
, its associated eigenvalue.
Eigenfunction
See also
Eigenvalue, Laplace-Beltrami Operator, Nodal Set, Sturm-Liouville Equation, Yau Nodal Set ConjectureExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Eigenfunction." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Eigenfunction.html