×

The explicit eigenvalues and eigenfunctions of the generalized Neumann kernel in annular domains. (English) Zbl 1456.30071

Summary: 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.

MSC:

30E25 Boundary value problems in the complex plane
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
PDFBibTeX XMLCite
Full Text: Link