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Volumn 38, Issue 3, 2004, Pages 1043-1076

A modular algorithm for computing the exponential solutions of a linear differential operator

Author keywords

Differential equations; Exponential solutions; Modular algorithms

Indexed keywords


EID: 3543138349     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2003.11.004     Document Type: Article
Times cited : (18)

References (21)
  • 1
    • 0029191776 scopus 로고
    • On polynomial solutions of linear operator equations
    • Proceedings of ISSAC'95 New York: ACM
    • Abramov S.A. Bronstein M. Petkovšek M. On polynomial solutions of linear operator equations Proceedings of ISSAC'95 1995 ACM New York
    • (1995)
    • Abramov, S.A.1    Bronstein, M.2    Petkovšek, M.3
  • 2
    • 0000848503 scopus 로고
    • Die Irreduzibilität der homogenen linearen differentialgleichungen
    • Beke E. Die Irreduzibilität der homogenen linearen differentialgleichungen Math. Ann. 45 1894 278-294
    • (1894) Math. Ann. , vol.45 , pp. 278-294
    • Beke, E.1
  • 3
    • 3543108758 scopus 로고    scopus 로고
    • Sur les Équations Différentielles Linéaires aramétrées, une Application aux Systèmes Hamiltoniens
    • Thèse, Université de Limoges
    • Boucher, D., 2000. Sur les Équations Différentielles Linéaires aramétrées, une Application aux Systèmes Hamiltoniens. Thèse, Université de Limoges
    • (2000)
    • Boucher, D.1
  • 4
    • 0038146131 scopus 로고    scopus 로고
    • Théorèmes d'Algébricité en Géométrie Diophantienne
    • Séminaire Bourbaki, exposé No. 886, Mars
    • Chambert-Loir, A., 2001. Théorèmes d'Algébricité en Géométrie Diophantienne. Séminaire Bourbaki, exposé No. 886, Mars, 2001
    • (2001)
    • Chambert-Loir, A.1
  • 5
    • 0002881350 scopus 로고
    • Applications of Pade approximations to the Grothendieck conjecture on linear equations
    • Chudnovsky D.V. Chudnovsky G.V. Applications of Pade approximations to the Grothendieck conjecture on linear equations in: Number Theory Lecture Notes in Mathematics vol. 1135 1985 52-100
    • (1985) Number Theory Lecture Notes in Mathematics , vol.1135 , pp. 52-100
    • Chudnovsky, D.V.1    Chudnovsky, G.V.2
  • 6
    • 1542330058 scopus 로고    scopus 로고
    • Factorization of differential systems in characteristic p
    • Philadelphia, PA, August 3-6
    • Cluzeau T. Factorization of differential systems in characteristic p Proceedings of ISSAC'03 Philadelphia, PA, August 3-6 2003 58-65
    • (2003) Proceedings of ISSAC'03 , pp. 58-65
    • Cluzeau, T.1
  • 7
    • 0032185835 scopus 로고    scopus 로고
    • Factoring in skew-polynomial rings over finite fields
    • Giesbrecht M. Factoring in skew-polynomial rings over finite fields J. Symbolic Comput. 24 5 1998 463-486
    • (1998) J. Symbolic Comput. , vol.24 , Issue.5 , pp. 463-486
    • Giesbrecht, M.1
  • 9
    • 0000942246 scopus 로고
    • Algebraic differential equations
    • Honda T. Algebraic differential equations Sym. Math. 24 1981 169-204
    • (1981) Sym. Math. , vol.24 , pp. 169-204
    • Honda, T.1
  • 11
    • 0000944730 scopus 로고
    • A conjecture in the arithmetic theory of differential equations
    • Katz N. A conjecture in the arithmetic theory of differential equations Bull. Soc. Math. France 110 1982 515-534
    • (1982) Bull. Soc. Math. France , vol.110 , pp. 515-534
    • Katz, N.1
  • 12
    • 0010997730 scopus 로고
    • Formale theorie der linearen differentialgleichungen (Zweiter Teil)
    • Ore O. Formale theorie der linearen differentialgleichungen (Zweiter Teil) J. Reine Angew. Math. 168 1932 233-252
    • (1932) J. Reine Angew. Math. , vol.168 , pp. 233-252
    • Ore, O.1
  • 13
    • 0041523852 scopus 로고    scopus 로고
    • Testing reducibility of linear differential operators: A group theoretic perspective
    • Singer M.F. Testing reducibility of linear differential operators: a group theoretic perspective J. Appl. Alg. Eng. Comm. Comp. (AAECC) 7 2 1996 77-104
    • (1996) J. Appl. Alg. Eng. Comm. Comp. (AAECC) , vol.7 , Issue.2 , pp. 77-104
    • Singer, M.F.1
  • 15
    • 0001299254 scopus 로고
    • Differential equations in characteristic p
    • van der Put M. Differential equations in characteristic p Compositio Math. 97 1995 227-251
    • (1995) Compositio. Math. , vol.97 , pp. 227-251
    • van der Put, M.1
  • 16
    • 0030607090 scopus 로고    scopus 로고
    • Reduction modulo p of differential equations
    • van der Put M. Reduction modulo p of differential equations Indag. Math. (N.S.) 7 3 1996 367-387
    • (1996) Indag. Math. (N.S.) , vol.7 , Issue.3 , pp. 367-387
    • van der Put, M.1
  • 17
    • 0035647897 scopus 로고    scopus 로고
    • Grothendieck's conjecture for the Risch equation y′=ay+b
    • van der Put M. Grothendieck's conjecture for the Risch equation y′=ay+b Indag. Math (N.S.). 12 1 2001 113-124
    • (2001) Indag. Math (N.S.) , vol.12 , Issue.1 , pp. 113-124
    • van der Put, M.1
  • 19
    • 0031185292 scopus 로고    scopus 로고
    • Formal solutions and factorization of differential operators with power series coefficients
    • van Hoeij M. Formal solutions and factorization of differential operators with power series coefficients J. Symbolic Comput. 24 1997 1-30
    • (1997) J. Symbolic Comput. , vol.24 , pp. 1-30
    • van Hoeij, M.1
  • 20
    • 0031281466 scopus 로고    scopus 로고
    • Factorization of differential operators with rational functions coefficients
    • van Hoeij M. Factorization of differential operators with rational functions coefficients J. Symbolic Comput. 24 1997 537-561
    • (1997) J. Symbolic Comput. , vol.24 , pp. 537-561
    • van Hoeij, M.1
  • 21
    • 0031139054 scopus 로고    scopus 로고
    • An algorithm for computing invariants of differential Galois groups
    • van Hoeij M. Weil J.-A. An algorithm for computing invariants of differential Galois groups J. Pure Appl. Algebra 117-118 1997 353-379
    • (1997) J. Pure Appl. Algebra , vol.117-118 , pp. 353-379
    • van Hoeij, M.1    Weil, J.-A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.