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most citedThe fundamental Laplacian eigenvalue of the regular polygon with Dirichlet boundary conditions

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math.NA2018

The fundamental Laplacian eigenvalue of the ellipse with Dirichlet boundary conditions

Robert Stephen Jones

In this project, I examine the lowest Dirichlet eigenvalue of the Laplacian within the ellipse as a function of eccentricity. Two existing analytic expansions of the eigenvalue are…