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arXiv:1207.5302 [math.CA]AbstractReferencesReviewsResources

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

Ryu Sasaki, Kouichi Takemura

Published 2012-07-23, updated 2012-11-15Version 2

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.

Journal: SIGMA 8 (2012), 085, 18 pages
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