Eigenvalue Problems for Lamé's Differential Equation
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2018 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209873 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Eigenvalue Problems for Lamé's Differential Equation / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862576305247092736 |
|---|---|
| author | Volkmer, H. |
| author_facet | Volkmer, H. |
| citation_txt | Eigenvalue Problems for Lamé's Differential Equation / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-05T00:14:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209873 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-05T00:14:17Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Volkmer, H. 2025-11-28T09:37:42Z 2018 Eigenvalue Problems for Lamé's Differential Equation / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 23 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33E10; 34B30 arXiv: 1808.04877 https://nasplib.isofts.kiev.ua/handle/123456789/209873 https://doi.org/10.3842/SIGMA.2018.131 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Eigenvalue Problems for Lamé's Differential Equation Article published earlier |
| spellingShingle | Eigenvalue Problems for Lamé's Differential Equation Volkmer, H. |
| title | Eigenvalue Problems for Lamé's Differential Equation |
| title_full | Eigenvalue Problems for Lamé's Differential Equation |
| title_fullStr | Eigenvalue Problems for Lamé's Differential Equation |
| title_full_unstemmed | Eigenvalue Problems for Lamé's Differential Equation |
| title_short | Eigenvalue Problems for Lamé's Differential Equation |
| title_sort | eigenvalue problems for lamé's differential equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209873 |
| work_keys_str_mv | AT volkmerh eigenvalueproblemsforlamesdifferentialequation |