Eigenvalue Problems for Lamé's Differential Equation

Symmetry Integrability and Geometry-Methods and Applications

article

Hans Volkmer¹ 

[1] Department of Mathematical Sciences, University of Wisconsin-Milwaukee

关键词: modular vectorial Lie algebra;    characteristic 2;    simple Lie algebra;    simple Lie superalgebra;   

DOI  :  10.3842/SIGMA.2018.131

来源: National Academy of Science of Ukraine

【 摘 要 】

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. Algebraic Lamé functions and Lamé polynomials appear as special cases of Lamé-Wangerin functions.

【 授权许可】

Unknown