Eigenvalue Problems for Lamé's Differential Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Volkmer, H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209873
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Eigenvalue Problems for Lamé's Differential Equation / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 23 назв. — англ.

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 eigenvalues and analytic continuation, zeros, and limiting cases of (generalized) Lamé-Wangerin eigenfunctions. Algebr...