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arXiv 2012-07-23 DOI 10.3842/SIGMA.2012.085 0 views

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

Sasaki, Ryu · Takemura, Kouichi

Original · EN

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.

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