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Volumn 48, Issue 4, 1996, Pages 575-600

Grobner bases for d-modules on a non-singular affine algebraic variety

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EID: 0030329563     PISSN: 00408735     EISSN: None     Source Type: Journal    
DOI: 10.2748/tmj/1178225300     Document Type: Article
Times cited : (5)

References (18)
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    • (1985) Lecture Notes in Comput. Sci , vol.204 , pp. 413-421
    • Galligo, A.1
  • 9
    • 0040531227 scopus 로고
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    • R. Hotta, Introduction to D-modules, Lecture Notes Series 1, Inst, of Math. Sci., Madras, 1987.
    • (1987) Lecture Notes Series , vol.1
    • Hotta, R.1
  • 10
    • 84984647753 scopus 로고
    • Non-commutative Grôbner bases in algebras of solvable type
    • A. Kandry-Rody and V. Weispfenning, Non-commutative Grôbner bases in algebras of solvable type, J. Symbolic Computation 9 (1990), 1-26.
    • (1990) J. Symbolic Computation , vol.9 , pp. 1-26
    • Kandry-Rody, A.1    Weispfenning, V.2
  • 13
    • 0041153299 scopus 로고
    • Wronskian determinants and the Grôbner representation of a linear differential equation
    • M. Kashiwara, T. Kawai, eds.), Academic Press, Boston
    • M. Noumi, Wronskian determinants and the Grôbner representation of a linear differential equation, in Algebraic Analysis (M. Kashiwara, T. Kawai, eds.), Academic Press, Boston, 1988, pp. 549-569.
    • (1988) Algebraic Analysis , pp. 549-569
    • Noumi, M.1
  • 14
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    • T. Oaku, Computation of the characteristic variety and the singular locus of a system of differential equations with polynomial coefficients, Japan J. Indust. Appl. Math. 11 (1994), 485—497.
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    • Oaku, T.1
  • 15
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    • Grôbner bases and systems of linear partial differential equations
    • Japanese), Department of Mathematics, Sophia University, Tokyo
    • T. Oaku, Grôbner bases and systems of linear partial differential equations, Sophia Kokyuroku in Mathematics, No. 38 (in Japanese), Department of Mathematics, Sophia University, Tokyo, 1994.
    • (1994) Sophia Kokyuroku in Mathematics , Issue.38
    • Oaku, T.1
  • 16
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    • Grôbner basis and the problem of contiguous relations
    • N. Takayama, Grôbner basis and the problem of contiguous relations, Japan J. Appl. Math 6 (1989), 147-160.
    • (1989) Japan J. Appl. Math , vol.6 , pp. 147-160
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  • 17
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    • An algorithm for finding recurrence relations of binomial sums and its complexity, to appear in
    • N. Takayama, An algorithm for finding recurrence relations of binomial sums and its complexity, to appear in J. Symbolic Computation 20 (1995), 637-651.
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    • Takayama, N.1


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