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

被引：11

作者：

Sasaki, Ryu ^{[1
]}

Takemura, Kouichi ^{[2
]}

机构：

[1] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

[2] Chuo Univ, Dept Math, Fac Sci & Technol, Bunkyo Ku, Tokyo 1128551, Japan

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷

基金：

日本学术振兴会;

关键词：

multi-indexed orthogonal polynomials; solvable systems; Fuchsian differential equations; Heun's equation; apparent singularities; high characteristic exponents; QUANTUM-MECHANICS; CRUMS THEOREM; OPERATORS;

D O I：

10.3842/SIGMA.2012.085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：18

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