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arxiv: 1207.5302 · v2 · pith:D64MB3KCnew · submitted 2012-07-23 · 🧮 math.CA · hep-th· math-ph· math.MP· quant-ph

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

classification 🧮 math.CA hep-thmath-phmath.MPquant-ph
keywords apparentcertaindifferentialequationssecond-ordersingularitysolutionsadjusting
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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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