Abstract
The aim of this paper is a new method for the construction of the eigenfunctions and eigenvalues of the mixed Stekloff eigenvalue problem. Using conformal mappings, transplantation techniques and the reflection principle we construct an analytic function whose real part is the eigenfunction under consideration. A consequence of this is also an equation for all eigenvalues which is useful for the calculation of the eigenvalues. Numerical results are also given. The method presented here is outlined in detail for two exampels.
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