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

Symmetry Integrability and Geometry-Methods and Applications

article

Ryu Sasaki¹  Kouichi Takemura² 

[1] Yukawa Institute for Theoretical Physics, Kyoto University;Department of Mathematics, Faculty of Science and Technology, Chuo University

关键词: multi-indexed orthogonal polynomials;    solvable systems;    Fuchsian dif ferential equations;    Heun’s equation;    apparent singularities;    high characteristic exponents;   

DOI  :  10.3842/SIGMA.2012.085

来源: National Academy of Science of Ukraine

【 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.

【 授权许可】

Unknown