Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2012 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148690 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity / R. Sasaki, K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-148690 |
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Sasaki, R. Takemura, K. 2019-02-18T17:55:16Z 2019-02-18T17:55:16Z 2012 Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity / R. Sasaki, K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33C45; 33C47 DOI: http://dx.doi.org/10.3842/SIGMA.2012.085 https://nasplib.isofts.kiev.ua/handle/123456789/148690 Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials. This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html. R.S. is supported in part by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology (MEXT), No.23540303 and No.22540186. K.T. is supported in part by the Grant-in-Aid for Young Scientists from the Japan Society for the Promotion of Science (JSPS), No.22740107. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity |
| spellingShingle |
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity Sasaki, R. Takemura, K. |
| title_short |
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity |
| title_full |
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity |
| title_fullStr |
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity |
| title_full_unstemmed |
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity |
| title_sort |
global solutions of certain second-order differential equations with a high degree of apparent singularity |
| author |
Sasaki, R. Takemura, K. |
| author_facet |
Sasaki, R. Takemura, K. |
| publishDate |
2012 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
Infinitely many explicit solutions of certain second-order differential equations with an apparent singularity of characteristic exponent −2 are constructed by adjusting the parameter of the multi-indexed Laguerre polynomials.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148690 |
| citation_txt |
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity / R. Sasaki, K. Takemura // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. |
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AT sasakir globalsolutionsofcertainsecondorderdifferentialequationswithahighdegreeofapparentsingularity AT takemurak globalsolutionsofcertainsecondorderdifferentialequationswithahighdegreeofapparentsingularity |
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2025-12-07T16:12:02Z |
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2025-12-07T16:12:02Z |
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1850866581747269632 |