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Volumn 56, Issue 4, 2004, Pages 467-490

Classical transcendental solutions of the painlevé equations and their degeneration

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EID: 11444252934     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1113246745     Document Type: Article
Times cited : (29)

References (15)
  • 2
    • 21444435060 scopus 로고    scopus 로고
    • Confluence of cycles for hypergeometric functions on Z2+1
    • Y. HARAOKA, Confluence of cycles for hypergeometric functions on Z2+1, Trans. Amer. Math. Soc. 349 (1997), 675-712.
    • (1997) Trans. Amer. Math. Soc , vol.349 , pp. 675-712
    • Haraoka, Y.1
  • 4
    • 0038498600 scopus 로고    scopus 로고
    • Determinant formulas for the Toda and discrete Toda equations
    • K. KAJIWARA, T. MASUDA, M. Noumi, Y. Ohta and Y. Yamada, Determinant formulas for the Toda and discrete Toda equations, Funkcial. Ekvac. 44 (2001), 291-307.
    • (2001) Funkcial. Ekvac , vol.44 , pp. 291-307
    • Kajiwara, K.1    Masuda, T.2    Noumi, M.3    Ohta, Y.4    Yamada, Y.5
  • 5
    • 0032512995 scopus 로고    scopus 로고
    • Determinant structure of the rational solutions for the Painleve IV equation
    • K. KAJIWARA and Y. Ohta, Determinant structure of the rational solutions for the Painleve IV equation, J. Phys. A 31 (1998), 2431-2446.
    • (1998) J. Phys. A , vol.31 , pp. 2431-2446
    • Kajiwara, K.1    Ohta, Y.2
  • 7
    • 0002515824 scopus 로고    scopus 로고
    • Symmetries in the fourth Painleve equation and Okamoto polynomials, Nagoya
    • M. NOUMI and Y. Yamada, Symmetries in the fourth Painleve equation and Okamoto polynomials, Nagoya Math. J. 153 (1999), 53-86.
    • (1999) Math. J , vol.153 , pp. 53-86
    • Noumi, M.1    Yamada, Y.2
  • 8
    • 0000877291 scopus 로고    scopus 로고
    • Higher order Painleve equations of type A(1), Funkcial
    • (1), Funkcial. Ekvac. 41 (1998), 483-503.
    • (1998) Ekvac , vol.41 , pp. 483-503
    • Noumi, M.1    Yamada, Y.2
  • 9
    • 0032476959 scopus 로고    scopus 로고
    • Affine Weyl groups, discrete dynamical systems and Painleve equations
    • M. NOUMI and Y. Yamada, Affine Weyl groups, discrete dynamical systems and Painleve equations, Comm. Math. Phys. 199 (1998), 281-295.
    • (1998) Comm. Math. Phys. , vol.199 , pp. 281-295
    • Noumi, M.1    Yamada, Y.2
  • 10
    • 0242452105 scopus 로고    scopus 로고
    • A new Lax pair for the sixth Painleve equation associated with m(8)
    • (T. Kawai and K. Fujita, World Scientific
    • M. NOUMI and Y. Yamada, A new Lax pair for the sixth Painleve equation associated with m(8), In: Microlocal Analysis and Complex Fourier Analysis (Eds. T. Kawai and K. Fujita), 238-252, World Scientific, 2002.
    • (2002) Microlocal Analysis and Complex Fourier Analysis , pp. 238-252
    • Noumi, M.1    Yamada, Y.2
  • 11
    • 34250120843 scopus 로고
    • Studies on the Painlevé equations I, sixth Painlevé equation Pvi
    • K. OKAMOTO, Studies on the Painlevé equations I, sixth Painlevé equation Pvi, Ann. Mat. Pura Appl. (4) 146 (1987), 337-381.
    • (1987) Ann. Mat. Pura Appl. (4) , vol.146 , pp. 337-381
    • Okamoto, K.1
  • 12
    • 0002556311 scopus 로고
    • Studies on the Painlevé equations II, fifth Painlevé equation Pv, Japan
    • K. OKAMOTO, Studies on the Painlevé equations II, fifth Painlevé equation Pv, Japan J. Math. 13 (1987), 47-76.
    • (1987) J. Math , vol.13 , pp. 47-76
    • Okamoto, K.1
  • 13
    • 0007117198 scopus 로고
    • Studies on the Painlevé equations III, second and fourth Painlevé equations, Pii and Piv
    • K. OKAMOTO, Studies on the Painlevé equations III, second and fourth Painlevé equations, Pii and Piv, Math. Ann. 275 (1986), 222-254.
    • (1986) Math. Ann , vol.275 , pp. 222-254
    • Okamoto, K.1
  • 14
    • 0000234103 scopus 로고
    • Studies on the Painlevé equations IV, third Painlevé equation Pm
    • K. OKAMOTO, Studies on the Painlevé equations IV, third Painlevé equation Pm, Funkcial. Ekvac. 30 (1987), 305-332.
    • (1987) Funkcial. Ekvac , vol.30 , pp. 305-332
    • Okamoto, K.1
  • 15
    • 0001039036 scopus 로고
    • Sur les équations différentielles du second ordre à points critiques fixes
    • P. PAINLEVÉ, Sur les équations différentielles du second ordre à points critiques fixes, C. R. Acad. Sci. Paris 143 (1906), 1111-1117
    • (1906) C. R. Acad. Sci. Paris , vol.143 , pp. 1111-1117
    • Painlevé, P.1


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