Malaysian Journal of Mathematical Sciences, September 2019, Vol. 13, No. 3
The Explicit Eigenvalues and Eigenfunctions of the Generalized Neumann Kernel in Annular Domains
Nasser, M. M. S.
Corresponding Email: mms.nasser@qu.edu.qa
Received date: 7 September 2018
Accepted date: 25 August 2019
Abstract:
This paper presents the explicit forms of the eigenvalues of the generalized Neumann kernel in annular domains and the explicit forms of the
corresponding eigenfunctions. It follows from these explicit forms that, except for -1, the eigenvalues are in the unit disk and clustered around
0.
Keywords: Generalized Neumann kernel, eigenvalues, eigenfunctions, Fourier series.
