Перегляд за автором "Takemura, K."

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  • Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity 
    Sasaki, R.; Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    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.
  • Middle Convolution and Heun's Equation 
    Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Heun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation. Middle ...
  • Towards Finite-Gap Integration of the Inozemtsev Model 
    Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Inozemtsev model is considered to be a multivaluable generalization of Heun's equation. We review results on Heun's equation, the elliptic Calogero-Moser-Sutherland model and the Inozemtsev model, and discuss some ...
  • Ultradiscrete Painlevé VI with Parity Variables 
    Takemura, K.; Tsutsui, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce a ultradiscretization with parity variables of the q-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painlevé VI satisfies the ultradiscrete Painlevé ...