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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 085, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.085 (Mi sigma762) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

Ryu Sasakia, Kouchi Takemurab

a Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
b Department of Mathematics, Faculty of Science and Technology, Chuo University, 1-13-27 Kasuga, Bunkyo-ku Tokyo 112-8551, Japan
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DOI: https://doi.org/10.3842/SIGMA.2012.085
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.
Keywords: multi-indexed orthogonal polynomials; solvable systems; Fuchsian differential equations; Heun's equation; apparent singularities; high characteristic exponents.
Received: July 24, 2012; in final form November 7, 2012; Published online November 15, 2012
Bibliographic databases:
Document Type: Article
MSC: 33C45; 33C47
Language: English
Citation: Ryu Sasaki, Kouchi Takemura, “Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity”, SIGMA, 8 (2012), 085, 18 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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