発表論文

  1. MR2277519 Ohyama, Yousuke; Kawamuko, Hiroyuki; Sakai, Hidetaka; Okamoto, Kazuo Studies on the Painlevé equations. V. Third Painlevé equations of special type $P\sb {\rm III}(D\sb 7)$ and $P\sb {\rmIII}(D\sb 8)$. J. Math. Sci. Univ. Tokyo 13 (2006), no. 2, 145--204. 34M55 (34M15 34M45)
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  2. MR2148794 (2006c:34172) Tsuda, Teruhisa; Okamoto, Kazuo; Sakai, Hidetaka Folding transformations of the Painlevé equations. Math. Ann. 331 (2005), no. 4, 713--738. (Reviewer: Shun Shimomura) 34M15 (34C14 37J35)
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  3. MR1865388 (2002h:34193) Okamoto, Kazuo; Takano, Kyoichi The proof of the Painlevé property by Masuo Hukuhara. (Esperanto) Funkcial. Ekvac. 44 (2001), no. 2, 201--217. 34M55
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  4. MR1783569 (2001i:34156) Fukutani, Satoshi; Okamoto, Kazuo; Umemura, Hiroshi Special polynomials and the Hirota bilinear relations of the second and the fourth Painlevé equations. Nagoya Math. J. 159 (2000), 179--200. (Reviewer: Andrei A. Kapaev) 34M55 (33E17 37K10)
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  5. MR1714704 (2000g:34148) Okamoto, Kazuo The Hamiltonians associated to the Painlevé equations. The Painlevé property, 735--787, CRM Ser. Math. Phys., Springer, New York, 1999. 34M55 (33E17 37J05 37J35)
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  6. MR1672065 (2001m:33015) Noumi, Masatoshi; Okada, Soichi; Okamoto, Kazuo; Umemura, Hiroshi Special polynomials associated with the Painlevé equations. II. Integrable systems and algebraic geometry (Kobe/Kyoto, 1997), 349--372, World Sci. Publishing, River Edge, NJ, 1998. 33C45 (05E35 34A34 34M55)
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  7. MR1614334 Okamoto, Kazuo Award of the Spring 1997 prize of the Mathematical Society of Japan to Hitoshi Arai (Tohoku University, Faculty of Science, Department of Mathematics) for his research on complex analysis and harmonic analysis. (Japanese) S\=ugaku 49 (1997), no. 4, 393--394. 01A70
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  8. MR1613379 Okamoto, Kazuo 1996 Mathematical Society of Japan autumn prize awarded to Kazuhiko Aomoto (Nagoya University, Graduate School of Polymathematics) for his research on complex integration. (Japanese) S\=ugaku 49 (1997), no. 3, 266. 01A70
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  9. MR1478153 Okamoto, Kazuo Award of the Fall 1995 prize of the Mathematical Society of Japan to Shigeru Mukai (Nagoya University, Graduate School of Polymathematics) for his research on the projective algebraic geometry of $3$-dimensional Fano varieties. (Japanese) S\=ugaku 49 (1997), no. 1, 83. 01A70
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  10. MR1476660 Okamoto, Kazuo Award of the 1996 Mathematical Society of Japan's spring prize to Sh\=uji Sait\=o (Tokyo University Graduate School of Scientific Research) for the paper "Generalization of class field theory and research into algebraic cycles". S\=ugaku 49 (1997), no. 2, 182. 01A70
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  11. MR1454468 (99d:34011) Noumi, Masatoshi; Okamoto, Kazuo Irreducibility of the second and the fourth Painlevé equations. Funkcial. Ekvac. 40 (1997), no. 1, 139--163. (Reviewer: Alexander Vladimirovich Kitaev) 34A20
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  12. MR1446391 (2000a:37061) Liu, Deming; Okamoto, Kazuo Polynomial Hamiltonian structure for the $A\sb 3$ system. Kumamoto J. Math. 10 (1997), 31--43. (Reviewer: Andre\u\i Bolibrukh) 37J99 (32G34 34M55)
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  13. MR1447933 (2000a:34015) Okamoto, Kazuo Algebraic relations among six adjacent $\tau$-functions related to the fourth Painlevé system. Kyushu J. Math. 50 (1996), no. 2, 513--532. (Reviewer: Alexander Vladimirovich Kitaev) 34A34 (30D99 32G34 34A25)
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  14. MR1453232 (99d:34012) Okamoto, Kazuo On the holonomic deformation of linear ordinary differential equations on an elliptic curve. Kyushu J. Math. 49 (1995), no. 2, 281--308. (Reviewer: Alexander Vladimirovich Kitaev) 34A20 (32G34)
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  15. MR1404279 (97f:32023) Okmoto, Kazuo; Liu, Deming Holonomic deformation of linear differential equations of the $A\sb 3$ type and polynomial Hamiltonian structure. Painlevé functions and asymptotic analysis (Japanese) (Kyoto, 1995). S\=urikaisekikenky\=usho K\=oky\=uroku No. 931 (1995), 20--33. (Reviewer: V. V. Chueshev) 32G34 (34A20)
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  16. MR1243696 (95j:58055) Okamoto, Kazuo The Painlevé equations and the Dynkin diagrams. Painlevé transcendents (Sainte-Adlle, PQ, 1990), 299--313, NATO Adv. Sci. Inst. Ser. B Phys., 278, Plenum, New York, 1992. (Reviewer: Vasily A. Chernecky) 58F05 (34A34)
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  17. MR1039501 (90m:01081) Okamoto, Kazuo Mathematical contributions of Professor Tosihusa Kimura. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 36 (1989), no. 3, vi--x. 01A70
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  18. MR1165103 (93f:58108) Okamoto, Kazuo Échelles et l'é quation de Toda. (French) [Scales and the Toda equation] Équations différentielles dans le champ complexe, Vol. II (Strasbourg, 1985), 19--38, Publ. Inst. Rech. Math. Av., Univ. Louis Pasteur, Strasbourg, 1988. 58F07 (17B65 33C99 35Q53)
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  19. MR0992486 (90j:33012) Okamoto, Kazuo Bäcklund transformations of classical orthogonal polynomials. Algebraic analysis, Vol. II, 647--657, Academic Press, Boston, MA, 1988. (Reviewer: Daniel P. Maki) 33A65 (33A45 35A30)
     
  20. MR0924748 (88k:65006) Arai, Masaharu; Okamoto, Kazuo; Kametaka, Yoshinori Aitken acceleration and Fibonacci numbers. Japan J. Appl. Math. 5 (1988), no. 1, 145--152. (Reviewer: F. Szidarovszky) 65B05
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  21. MR0933542 (89k:58102) Okamoto, Kazuo The Hamiltonian structure derived from the holonomic deformation of the linear ordinary differential equations on an elliptic curve. Sci. Papers College Arts Sci. Univ. Tokyo 37 (1987), no. 1, 1--11. (Reviewer: Alexander Yanovski) 58F05 (34A20)
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  22. MR0927607 (89d:58058) Okamoto, Kazuo Sur les chelles associes aux fonctions spciales et l'quation de Toda. (French) [Scales associated with special functions and the Toda equation] J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), no. 3, 709--740. (Reviewer: A. K. Prykarpat\cydot ski\u\i) 58F07 (33A30 33A40 39B10)
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  23. MR0927186 (88m:58065) Okamoto, Kazuo Studies on the Painlevé equations. IV. Third Painlevé equation $P\sb {{\rm III}}$. Funkcial. Ekvac. 30 (1987), no. 2-3, 305--332. (Reviewer: Hlnne Airault) 58F05 (34C20 58F35)
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  24. MR0916698 (88m:58062) Okamoto, Kazuo Studies on the Painlevé equations. I. Sixth Painlevé equation $P\sb {{\rm VI}}$. Ann. Mat. Pura Appl. (4) 146 (1987), 337--381. (Reviewer: Hlnne Airault) 58F05 (34C20 58F35)
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  25. MR0914314 (88m:58063) Okamoto, Kazuo Studies on the Painlevé equations. II. Fifth Painlevé equation $P\sb {\rm V}$. Japan. J. Math. (N.S.) 13 (1987), no. 1, 47--76. (Reviewer: Hlnne Airault) 58F05 (34C20 58F35)
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  26. MR0866050 (88e:58042) Okamoto, Kazuo Isomonodromic deformation and Painlevé equations, and the Garnier system. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 33 (1986), no. 3, 575--618. (Reviewer: Hlnne Airault) 58F07 (58F35)
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  27. MR0854008 (88m:58064) Okamoto, Kazuo Studies on the Painlevé equations. III. Second and fourth Painlevé equations, $P\sb {{\rm II}}$ and $P\sb {{\rm IV}}$. Math. Ann. 275 (1986), no. 2, 221--255. (Reviewer: Hlnne Airault) 58F05 (34C20 58F35)
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  28. MR0839793 (87g:11028) Arai, Masaharu; Okamoto, Kazuo; Kametaka, Yoshinori Aitken-Steffensen acceleration and a new addition formula for Fibonacci numbers. Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 1, 5--7. (Reviewer: Neville Robbins) 11B39
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  29. MR0830631 (87i:33009) Okamoto, Kazuo; Kimura, Hironobu On particular solutions of the Garnier systems and the hypergeometric functions of several variables. Quart. J. Math. Oxford Ser. (2) 37 (1986), no. 145, 61--80. (Reviewer: R. A. Askey) 33A30 (58F07)
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  30. MR0776915 (86c:34008) Kimura, Hironobu; Okamoto, Kazuo On the polynomial Hamiltonian structure of the Garnier systems. J. Math. Pures Appl. (9) 63 (1984), no. 1, 129--146. (Reviewer: W. Balser) 34A20 (58F05)
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  31. MR0719085 (86g:58109) Kimura, Hironobu; Okamoto, Kazuo On the isomonodromic deformation of linear ordinary differential equations of higher order. Funkcial. Ekvac. 26 (1983), no. 1, 37--50. (Reviewer: V. A. Golubeva) 58F19 (34A20)
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  32. MR0625451 (82i:34005) Okamoto, Kazuo On the $\tau $-function of the Painlevé equations. Phys. D 2 (1981), no. 3, 525--535. (Reviewer: D. A. Lutz) 34A20 (58A17 58F18)
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  33. MR0596006 (82j:34010b) Okamoto, Kazuo Polynomial Hamiltonians associated with Painlevé equations. II. Differential equations satisfied by polynomial Hamiltonians. Proc. Japan Acad. Ser. A Math. Sci. 56 (1980), no. 8, 367--371. (Reviewer: P. A. Kuchment) 34A34 (58A17 58F05)
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  34. MR0581468 (82j:34010a) Okamoto, Kazuo Polynomial Hamiltonians associated with Painlevé equations. I. Proc. Japan Acad. Ser. A Math. Sci. 56 (1980), no. 6, 264--268. (Reviewer: P. A. Kuchment) 34A34 (58A17 58F05)
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  35. MR0569820 (81h:58051) Okamoto, Kazuo Painlevé's equations. (Japanese) Sugaku 32 (1980), no. 1, 30--43. (Reviewer: A. Morimoto) 58F18 (34A99)
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  36. MR0614694 (83m:58005) Okamoto, Kazuo Sur les feuilletages associés aux équations du second ordre à points critiques fixes de P. Painlevé. (French) [On foliations associated with second-order Painlevée equations with fixed critical points] Japan. J. Math. (N.S.) 5 (1979), no. 1, 1--79. (Reviewer: I. Vaisman) 58A15 (34C30 57R30 58F18)
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  37. MR0560010 (81e:34009) Okamoto, Kazuo Deformation d'une quation diffrentielle linaire avec une singularit irrgulirre sur un tore. (French) J. Fac. Sci. Univ. Tokyo Sect. IA Math. 26 (1979), no. 3, 501--518. (Reviewer: G. R. Sell) 34A20 (14D05)
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  38. MR0539778 (80k:58009) Okamoto, Kazuo Sur la convergence de solutions formelles d'quations diffrentielles avec singularits de premirre classe. (French) J. Fac. Sci. Univ. Tokyo Sect. IA Math. 26 (1979), no. 1, 183--198. (Reviewer: R. Grard) 58A15 (34A25 35C10 58A17)
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  39. MR0463549 (57 #3494) Okamoto, Kazuo Sur le problmme de Fuchs sur un tore. II. (French) J. Fac. Sci. Univ. Tokyo Sect. IA Math. 24 (1977), no. 2, 357--372. (Reviewer: J. Rausen) 34A20 (34A30)
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  40. MR0458459 (56 #16662) Okamoto, Kazuo Sur les feuilletages associs aux quations du second ordre points critiques fixes de P. Painlevé. (French) C. R. Acad. Sci. Paris Sr. A-B 285 (1977), no. 12, A765--A767. 58A15 (57D30 34C05)
     
  41. MR0385215 (52 #6080) Okamoto, Kazuo On Fuchs' problem on a torus. Japan-United States Seminar on Ordinary Differential and Functional Equations (Kyoto, 1971), pp. 277--280. Lecture Notes in Math., Vol. 243, Springer, Berlin, 1971. 34A20
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  42. MR0310319 (46 #9420) Okamoto, Kazuo On Fuch's problem on a torus. I. Funkcial. Ekvac. 14 (1971), 137--152. (Reviewer: J. Rausen) 34A20
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