1207.5302 (Kouichi Takemura et al.)

Global solutions of certain second order differential equations with a
high degree of apparent singularity    [PDF]

Kouichi Takemura, Ryu Sasaki

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.

View original: http://arxiv.org/abs/1207.5302