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Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Інший ID:
2010 Mathematics Subject Classification: 33C45; 33C47
DOI: http://dx.doi.org/10.3842/SIGMA.2012.085
DOI: http://dx.doi.org/10.3842/SIGMA.2012.085
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
488
Завантажень:
256
Анотація:
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.
