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Volumn 148, Issue , 1997, Pages 151-198

Solutions of the second and fourth Painlevé equations, I

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EID: 0000547644     PISSN: 00277630     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0027763000006486     Document Type: Article
Times cited : (54)

References (30)
  • 1
    • 0012688149 scopus 로고
    • Solutions of the second Painlevé equation
    • V. I. Gromak, Solutions of the second Painlevé equation, Diff. Eq., 18 (1982), 537-545.
    • (1982) Diff. Eq. , vol.18 , pp. 537-545
    • Gromak, V.I.1
  • 2
    • 0001093688 scopus 로고
    • Theory of the fourth Painlevé equation
    • V. I. Gromak, Theory of the fourth Painlevé equation, Diff. Eq., 23 (1987), 506-513.
    • (1987) Diff. Eq. , vol.23 , pp. 506-513
    • Gromak, V.I.1
  • 3
    • 0039281333 scopus 로고
    • Transformations of Painlevé equations
    • in Russian
    • V. I. Gromak, Transformations of Painlevé equations. Dokl. Akad. Nauk. BSSR., 32 (1988), 395-398, (in Russian).
    • (1988) Dokl. Akad. Nauk. BSSR. , vol.32 , pp. 395-398
    • Gromak, V.I.1
  • 5
    • 0346669577 scopus 로고
    • One-parameter families of solutions of the second Painlevé equation
    • in Russian
    • V. I. Gromak, One-parameter families of solutions of the second Painlevé equation, Dokl. Akad. Nauk. BSSR., 33 (1989). 209-211, (in Russian).
    • (1989) Dokl. Akad. Nauk. BSSR. , vol.33 , pp. 209-211
    • Gromak, V.I.1
  • 6
    • 0002298935 scopus 로고
    • Special classes of solutions of Painlevé's equations
    • V. I. Gromak and N. A. Lukashevich, Special classes of solutions of Painlevé's equations, Diff. Eq., 18 (1982), 317-326.
    • (1982) Diff. Eq. , vol.18 , pp. 317-326
    • Gromak, V.I.1    Lukashevich, N.A.2
  • 7
    • 0346038604 scopus 로고
    • Solutions of Painlevé's fourth equation and their applications
    • V. I. Gromak and V. V. Tsegel'nik, Solutions of Painlevé's fourth equation and their applications, Diff. Eq., 27 (1991), 910-918.
    • (1991) Diff. Eq. , vol.27 , pp. 910-918
    • Gromak, V.I.1    Tsegel'nik, V.V.2
  • 10
    • 0001023712 scopus 로고
    • Theory of the fourth Painlevé equation
    • N. A. Lukashevich, Theory of the fourth Painlevé equation, Diff. Eq., 3 (1967), 395-399.
    • (1967) Diff. Eq. , vol.3 , pp. 395-399
    • Lukashevich, N.A.1
  • 11
    • 0000141589 scopus 로고
    • The second Painlevé equation
    • N. A. Lukashevich, The second Painlevé equation, Diff. Eq., 7 (1971), 853-854.
    • (1971) Diff. Eq. , vol.7 , pp. 853-854
    • Lukashevich, N.A.1
  • 12
    • 84972542074 scopus 로고
    • Classical solutions of the third Painlevé equation
    • Y. Murata, Classical solutions of the third Painlevé equation, Nagoya Math. J., 139 (1995), 37-65.
    • (1995) Nagoya Math. J. , vol.139 , pp. 37-65
    • Murata, Y.1
  • 13
    • 0002101436 scopus 로고
    • Rational solutions of the second and fourth Painlevé equations
    • Y. Murata, Rational solutions of the second and fourth Painlevé equations, Funk. Ekvac., 28 (1985), 1-32.
    • (1985) Funk. Ekvac. , vol.28 , pp. 1-32
    • Murata, Y.1
  • 14
    • 84972545734 scopus 로고
    • A note on the transcendency of Painlevé's first transcendent
    • K. Nishioka, A note on the transcendency of Painlevé's first transcendent, Nagoya Math. J., 109 (1988), 63-67.
    • (1988) Nagoya Math. J. , vol.109 , pp. 63-67
    • Nishioka, K.1
  • 15
    • 0346669581 scopus 로고
    • Private communications
    • M. Noumi, Private communications (1986 and 1987).
    • (1986)
    • Noumi, M.1
  • 16
    • 0040212337 scopus 로고    scopus 로고
    • Irreducibility of the second and the fourth Painlevé equations
    • M. Noumi and K. Okamoto, Irreducibility of the second and the fourth Painlevé equations, Funk. Ekvac., 40 (1997), 139-163.
    • (1997) Funk. Ekvac. , vol.40 , pp. 139-163
    • Noumi, M.1    Okamoto, K.2
  • 18
    • 0346669580 scopus 로고
    • Private communication
    • K. Okamoto, Private communication (1987).
    • (1987)
    • Okamoto, K.1
  • 19
    • 0000525984 scopus 로고
    • Mémoire sur les équations différentielles dont l'intégrale générale est uniforme
    • P. Painlevé, Mémoire sur les équations différentielles dont l'intégrale générale est uniforme, Bull. Soc. Math. France, 28 (1900), 201-261.
    • (1900) Bull. Soc. Math. France , vol.28 , pp. 201-261
    • Painlevé, P.1
  • 20
    • 34250594266 scopus 로고
    • Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme
    • P. Painlevé. Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme, Acta Math., 25 (1900), 1-85.
    • (1900) Acta Math. , vol.25 , pp. 1-85
    • Painlevé, P.1
  • 22
    • 84972522739 scopus 로고
    • Œuvres de P. Painlevé I, Editions du C. N. R. S., Paris
    • P. Painlevé, Leçons de Stockholm, Œuvres de P. Painlevé I, Editions du C. N. R. S., Paris, 1972.
    • (1972) Leçons de Stockholm
    • Painlevé, P.1
  • 23
    • 84972541771 scopus 로고
    • Birational automorphism groups and differential equations
    • H. Umemura, Birational automorphism groups and differential equations, Nagoya Math. J., 119 (1990), 1-80.
    • (1990) Nagoya Math. J. , vol.119 , pp. 1-80
    • Umemura, H.1
  • 25
    • 0000479241 scopus 로고
    • Second proof of the irreducibility of first differential equation of Painlevé
    • H. Umemura, Second proof of the irreducibility of first differential equation of Painlevé, Nagoya Math. J., 117 (1990), 125-171.
    • (1990) Nagoya Math. J. , vol.117 , pp. 125-171
    • Umemura, H.1
  • 26
    • 0005521558 scopus 로고    scopus 로고
    • Differential Galois theory of infinite dimension
    • H. Umemura, Differential Galois theory of infinite dimension, Nagoya Math. J., 144 (1996), 59-135.
    • (1996) Nagoya Math. J. , vol.144 , pp. 59-135
    • Umemura, H.1
  • 28
    • 0002541857 scopus 로고
    • On rational solutions of the second Painlevé equation
    • Vorob'ev, A. P., On rational solutions of the second Painlevé equation, Diff. Eq., 1 (1965), 58-59.
    • (1965) Diff. Eq. , vol.1 , pp. 58-59
    • Vorob'ev, A.P.1
  • 29
    • 84972511852 scopus 로고
    • Solutions of the fifth Painlevé equation I
    • H. Watanabe, Solutions of the fifth Painlevé equation I, Hokkaido Math. J., 24 (1995), 231-267..
    • (1995) Hokkaido Math. J. , vol.24 , pp. 231-267
    • Watanabe, H.1
  • 30
    • 0012645075 scopus 로고
    • On rational solutions of the second Painlevé equation
    • in Russian
    • A. I. Yablonskii, On rational solutions of the second Painlevé equation, Vesti A. N. BSSR. Ser. Fiz-Tekh. Nauk., 3 (1959), 30-35, (in Russian).
    • (1959) Vesti A. N. BSSR. Ser. Fiz-Tekh. Nauk. , vol.3 , pp. 30-35
    • Yablonskii, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.