Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Classical Analysis and ODEs
2012-11-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1207.5302,
title = {Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity},
author = {Ryu Sasaki and Kouichi Takemura},
journal= {arXiv preprint arXiv:1207.5302},
year = {2012}
}