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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 131, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.131 (Mi sigma1430) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Eigenvalue Problems for Lamé's Differential Equation

Hans Volkmer

Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI, 53201, USA
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DOI: https://doi.org/10.3842/SIGMA.2018.131
Abstract: 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.
Keywords: Lamé functions; singular Sturm–Liouville problems; tridiagonal matrices.
Received: August 14, 2018; in final form December 6, 2018; Published online December 12, 2018
Bibliographic databases:
Document Type: Article
MSC: 33E10; 34B30
Language: English
Citation: Hans Volkmer, “Eigenvalue Problems for Lamé's Differential Equation”, SIGMA, 14 (2018), 131, 21 pp.
Citation in format AMSBIB
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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