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arXiv · 1207.5302

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

Ryu Sasaki·Kouichi Takemura
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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.

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Ryu Sasaki, Kouichi Takemura. 2012-11-15. Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity. https://doi.org/10.3842/sigma.2012.085

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