Such an equation, where the operator, operating on a function, produces a constant times the function, is called an eigenvalue equation. The function is called an eigenfunction, and the resulting numerical value is called the eigenvalue.

What is meant by eigenfunctions and eigenvalues?

In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.

What is the difference between eigenvalues and eigenfunctions?

is that eigenfunction is (mathematics) a function \phi such that, for a given linear operator d , d\phi=\lambda\phi for some scalar \lambda (called an eigenvalue) while eigenvalue is (linear algebra) the change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar ...