Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• ISSN: 1815-0659
• Main Authors: Sasaki, R., Takemura, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148690
• 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.

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.