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.

Bibliographic Details
Main Authors: Ryu Sasaki, Kouichi Takemura
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.085