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Volumn 198, Issue 1, 2004, Pages 16-34

Algebraic solutions of the Lamé equation, revisited

Author keywords

Algebraic solution; Finite monodromy; Hypergeometric equation; Lam equation; Projective monodromy group; Schwarz list

Indexed keywords


EID: 1542615706     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2003.06.006     Document Type: Article
Times cited : (11)

References (17)
  • 1
    • 1542749467 scopus 로고
    • On second order linear differential equations with algebraic solutions on algebraic curves
    • F. Baldassarri, On second order linear differential equations with algebraic solutions on algebraic curves, Amer. J. Math. 102 (3) (1980) 517-535.
    • (1980) Amer. J. Math. , vol.102 , Issue.3 , pp. 517-535
    • Baldassarri, F.1
  • 2
    • 0002741667 scopus 로고
    • On algebraic solutions of Lamé's differential equation
    • F. Baldassarri, On algebraic solutions of Lamé's differential equation, J. Differential Equations 41 (1) (1981) 44-58.
    • (1981) J. Differential Equations , vol.41 , Issue.1 , pp. 44-58
    • Baldassarri, F.1
  • 3
    • 0002929242 scopus 로고
    • On second order linear differential equations with algebraic solutions
    • F. Baldassarri, B. Dwork, On second order linear differential equations with algebraic solutions, Amer. J. Math. 101 (1) (1979) 42-76.
    • (1979) Amer. J. Math. , vol.101 , Issue.1 , pp. 42-76
    • Baldassarri, F.1    Dwork, B.2
  • 4
    • 0042044376 scopus 로고    scopus 로고
    • Two-generator subgroups of SL(2, C) and the hypergeometric, Riemann, and Lamé equations
    • doi:10.1006/jsco.1999.0313
    • R.C. Churchill, Two-generator subgroups of SL(2, C) and the hypergeometric, Riemann, and Lamé equations, J. Symbolic Comput. 28 (4-5) (1999) 521-545 doi:10.1006/jsco.1999.0313.
    • (1999) J. Symbolic Comput. , vol.28 , Issue.4-5 , pp. 521-545
    • Churchill, R.C.1
  • 5
    • 0029703994 scopus 로고    scopus 로고
    • Symmetry and the Chazy equation
    • doi: 10.1006/jdeq.1996.0008
    • P.A. Clarkson, P.J. Olver, Symmetry and the Chazy equation, J. Differential Equations 124 (1) (1996) 225-246 doi: 10.1006/jdeq.1996.0008.
    • (1996) J. Differential Equations , vol.124 , Issue.1 , pp. 225-246
    • Clarkson, P.A.1    Olver, P.J.2
  • 8
    • 0035813078 scopus 로고    scopus 로고
    • On Lamé's equation of a particular kind
    • doi:10.1088/0305-4470/34/39/313
    • P. Ivanov, On Lamé's equation of a particular kind, J. Phys. A 34 (39) (2001) 8145-8150 doi:10.1088/0305-4470/34/39/313.
    • (2001) J. Phys. A , vol.34 , Issue.39 , pp. 8145-8150
    • Ivanov, P.1
  • 9
    • 0035841693 scopus 로고    scopus 로고
    • 0 = 1 Friedmann-Lemaître-Robertson-Walker cosmology
    • 0 = 1 Friedmann-Lemaître-Robertson-Walker cosmology, Astrophys. J. 561 (2) (2001) 491-495.
    • (2001) Astrophys. J. , vol.561 , Issue.2 , pp. 491-495
    • Kantowski, R.1    Thomas, R.C.2
  • 10
    • 1542539306 scopus 로고
    • Ueber lineare Differentialgleichungen
    • F. Klein, Ueber lineare Differentialgleichungen, Math. Ann. 12 (1877) 167-179.
    • (1877) Math. Ann. , vol.12 , pp. 167-179
    • Klein, F.1
  • 11
    • 1542434429 scopus 로고    scopus 로고
    • Transforming the Heun equation to the hypergeometric equation, I: Polynomial transformations
    • Preprint, arXiv:math.CA/0203264
    • R.S. Maier, Transforming the Heun equation to the hypergeometric equation, I: Polynomial transformations (2002), Preprint, arXiv:math.CA/0203264.
    • (2002)
    • Maier, R.S.1
  • 12
    • 0030594797 scopus 로고    scopus 로고
    • Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations
    • doi:10.1006/jdeq.1996.0113
    • J.J. Morales-Ruiz, C. Simó, Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations, J. Differential Equations 129 (1) (1996) 111-135 doi:10.1006/jdeq.1996.0113.
    • (1996) J. Differential Equations , vol.129 , Issue.1 , pp. 111-135
    • Morales-Ruiz, J.J.1    Simó, C.2
  • 13
    • 1542749468 scopus 로고    scopus 로고
    • Old and new on the Schwarzian derivative
    • P. Duren, J. Heinonen, B. Osgood, B. Palka (Eds.), Springer, New York/Berlin
    • B. Osgood, Old and new on the Schwarzian derivative, in: P. Duren, J. Heinonen, B. Osgood, B. Palka (Eds.), Quasiconformal Mappings and Analysis, Springer, New York/Berlin, 1998, pp. 275-308.
    • (1998) Quasiconformal Mappings and Analysis , pp. 275-308
    • Osgood, B.1
  • 16
    • 84972551898 scopus 로고
    • Moduli of linear differential equations on the Riemann sphere with fixed Galois groups
    • M.F. Singer, Moduli of linear differential equations on the Riemann sphere with fixed Galois groups, Pacific J. Math. 160 (2) (1993) 343-395.
    • (1993) Pacific J. Math. , vol.160 , Issue.2 , pp. 343-395
    • Singer, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.