Geodesic
Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: multi-indexed orthogonal polynomials; solvable systems; Fuchsian differential equations; Heun's equation; apparent singularities; high characteristic exponents. 
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     author = {Ryu Sasaki and Kouchi Takemura},
     title = {Global {Solutions} of {Certain} {Second-Order} {Differential} {Equations} with a {High} {Degree} of {Apparent} {Singularity}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a84/}
}
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Ryu Sasaki; Kouchi Takemura. Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a84/

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