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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148690 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862689875489193984 |
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| author | Sasaki, R. Takemura, K. |
| author_facet | Sasaki, R. Takemura, K. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T16:12:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148690 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:12:02Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity Sasaki, R. Takemura, K. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148690 |
| work_keys_str_mv | AT sasakir globalsolutionsofcertainsecondorderdifferentialequationswithahighdegreeofapparentsingularity AT takemurak globalsolutionsofcertainsecondorderdifferentialequationswithahighdegreeofapparentsingularity |