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arXiv · 1808.04877

Eigenvalue Problems for Lam\'e's Differential Equation

Hans Volkmer
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Abstract

The Floquet eigenvalue problem and a generalized form of the Wangerin eigenvalue problem for Lam\'e's differential equation are discussed. Results include comparison theorems for eigenvalues and analytic continuation, zeros and limiting cases of (generalized) Lam\'e-Wangerin eigenfunctions. Algebraic Lam\'e functions and Lam\'e polynomials appear as special cases of Lam\'e-Wangerin functions.

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Hans Volkmer. 2018-08-14. Eigenvalue Problems for Lam\'e's Differential Equation. https://doi.org/10.3842/sigma.2018.131

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