Tatsuya KOIKE

Tatsuya KOIKE

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Analysis
Associate Professor
Building B, Room 330


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Primary Publications :
  1. T. Koike, On the perturbation series in large order of anharmonic oscillators, Annales Henri Poincare, 1 (2000), 193--200.
  2. T. Koike, On a regular singular point in the exact WKB analysis, "Toward the Exact WKB Analysis of Differential Equations, Linear or Non-linear (Kyoto, 1998)", Kyoto Univ. Press, 2000, 39--53.
  3. T. Koike, Asymptotics of the spectrum of Heun's equation and the exact WKB analysis, "Toward the Exact WKB Analysis of Differential Equations, Linear or Non-linear (Kyoto, 1998)", Kyoto Univ. Press, 2000, 55--70.
  4. T. Koike, On the exact WKB analysis of second order linear ordinary differential equations with simple poles, Publ. RIMS, Kyoto Univ., 36 (2000), 297--319.
  5. T. Aoki, T. Koike, Y. Takei, Vanishing of Stokes curves, "Microlocal Analysis and Complex Fourier Analysis", World Scientific Publishing, 2002, 1--22.
  6. T. Aoki, T. Kawai, T. Koike, Y. Takei, On the exact WKB analysis of operators admitting infinitely many phases, Adv. in Math., 181 (2004), 165--189.
  7. T. Aoki, T. Kawai, T. Koike, Y. Takei, On the exact WKB analysis of microdifferential operators of WKB type, Ann. Inst. Fourier, Grenoble, 54 (2004), 1393--1421.
  8. T. Kawai, T. Koike, Y. Nishikawa, Y. Takei, On the Stokes geometry of higher order Painleve equations, Asterisque, 297 (2004), 117--166.
  9. T. Koike, On the Hamiltonian structures of the second and the fourth Painleve hierarchies, and the degenerate Garnier systems, RIMS Kokyuroku Bessatsu, Kyoto Univ., B2 (2007), 99--127.