# eigenfunction

Also found in: Medical, Encyclopedia, Wikipedia.
Related to eigenfunction: eigenfunction expansion

## eigenfunction

(ˈaɪɡənˌfʌŋkʃən)
n
(Mathematics) maths physics a function satisfying a differential equation, esp an allowed function for a system in wave mechanics
Translations
Eigenfunktion
Mentioned in ?
References in periodicals archive ?
It is known that the constant function is an eigenfunction of the generalized Neumann kernel N corresponding to the eigenvalue [lambda] = -1 and an eigenfunction of the singular kernel M corresponding to the eigenvalue [lambda] = 0 [31, 42], i.
For x [member of] R\{0} and A [member of] C, the eigenfunction [[PHI].
The snapshot method converts the dimensions of the eigenfunction system from [N.
7) has the same eigenvalues, but there each composition I corresponds to an eigenfunction of eigenvalue [a.
Eigenvalue, eigenfunction, eigenvector, and related terms, Earliest Known Uses of Some of the Words of Mathematics.
In the continuous case, sets that are the zero-level sets of the eigenfunctions are called nodal sets, and nodal domains are those sets in which a corresponding eigenfunction takes on one sign and they are separated by nodal sets.
The similarity between the properties of TFT and THT eigenfunction was discussed in detail in [26], see also [15, 13].