8 citations · 9 across the 5 of their papers we have counts for
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The Laplace-Beltrami Operator on the Surface of the Ellipsoid
Hans Volkmer
The Laplace-Beltrami operator on (the surface of) a triaxial ellipsoid admits a sequence of real eigenvalues diverging to plus infinity. By introducing ellipsoidal coordinates, thi…
On the Hill Discriminant of Lamé's Differential Equation
Hans Volkmer
Lamé's differential equation is a linear differential equation of the second order with a periodic coefficient involving the Jacobian elliptic function depending on the…
Internal and external harmonics in bi-cyclide coordinates
Brandon Alexander, Howard S. Cohl, Hans Volkmer
The Laplace equation in three dimensional Euclidean space is -separable in bi-cyclide coordinates leading to harmonic functions expressed in terms of Lamé-Wangerin functions cal…
Peanut harmonic expansion for a fundamental solution of Laplace's equation in flat-ring coordinates
Lijuan Bi, Howard S. Cohl, Hans Volkmer
We derive an expansion for the fundamental solution of Laplace's equation in flat-ring cyclide coordinates in three-dimensional Euclidean space. This expansion is a double series o…
Fourier series representation of Ferrers function P
Hans Volkmer
In this note we consider the Fourier expansion of the Ferrers function P of the first kind. We determine its mode of convergence.
Eigenvalue Problems for Lamé's Differential Equation
Hans Volkmer
The Floquet eigenvalue problem and a generalized form of the Wangerin eigenvalue problem for Lamé's differential equation are discussed. Results include comparison theorems for eig…