메뉴 건너뛰기




Volumn 139, Issue 1, 1999, Pages 109-131

Finite singularities and hypergeometric solutions of linear recurrence equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033143348     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(99)00008-0     Document Type: Article
Times cited : (90)

References (18)
  • 1
    • 0030688696 scopus 로고    scopus 로고
    • A method for the integration of solutions of Ore equations
    • S.A. Abramov, M. van Hoeij, A method for the integration of solutions of Ore equations, ISSAC'97 Proc., 1997, pp. 172-175.
    • (1997) ISSAC'97 Proc. , pp. 172-175
    • Abramov, S.A.1    Van Hoeij, M.2
  • 2
    • 0032514329 scopus 로고    scopus 로고
    • Rational solutions of first order linear difference systems
    • S.A. Abramov, M.A. Barkatou, Rational solutions of first order linear difference systems, in: ISSAC'98 Proc., 1998, pp. 124-131.
    • (1998) ISSAC'98 Proc. , pp. 124-131
    • Abramov, S.A.1    Barkatou, M.A.2
  • 3
    • 0009074143 scopus 로고    scopus 로고
    • q-Hypergeometric solutions of q-difference equations
    • S.A. Abramov, P. Paule, M. Petkovšek, q-Hypergeometric solutions of q-difference equations, Discrete Math. 180 (1-3) (1998) 3-22.
    • (1998) Discrete Math. , vol.180 , Issue.1-3 , pp. 3-22
    • Abramov, S.A.1    Paule, P.2    Petkovšek, M.3
  • 4
    • 0008998416 scopus 로고
    • Sur les séries formelles solutions d'équations aux différences polynomiales
    • M.A. Barkatou, A. Duval, Sur les séries formelles solutions d'équations aux différences polynomiales, Ann. Inst. Fourier (Grenoble) 44 (2) (1994) 495-524.
    • (1994) Ann. Inst. Fourier (Grenoble) , vol.44 , Issue.2 , pp. 495-524
    • Barkatou, M.A.1    Duval, A.2
  • 5
    • 0000848503 scopus 로고
    • Die irreduzibilität der homogenen linearen differentialgleichungen
    • E. Beke, Die irreduzibilität der homogenen linearen differentialgleichungen, Math. Ann. 45 (1894) 278-294.
    • (1894) Math. Ann. , vol.45 , pp. 278-294
    • Beke, E.1
  • 6
    • 0030576158 scopus 로고    scopus 로고
    • An introduction to pseudo-linear algebra
    • M. Bronstein, M. Petkovšek, An introduction to pseudo-linear algebra, Theoret. Comput. Sci. 157 (1) (1996) 3-33.
    • (1996) Theoret. Comput. Sci. , vol.157 , Issue.1 , pp. 3-33
    • Bronstein, M.1    Petkovšek, M.2
  • 7
    • 0001298067 scopus 로고
    • Lemmes de Hensel et factorisation formelle pour les opérateurs aux différences
    • A. Duval, Lemmes de Hensel et factorisation formelle pour les opérateurs aux différences, Funkcial. Ekvac. 26 (3) (1983) 349-368.
    • (1983) Funkcial. Ekvac. , vol.26 , Issue.3 , pp. 349-368
    • Duval, A.1
  • 8
    • 0038840100 scopus 로고
    • Decision procedure for indefinite hypergeometric summation
    • Jr. Gosper, R. William, Decision procedure for indefinite hypergeometric summation, Proc. Natl. Acad. Sci. USA 75 (1) (1978) 40-42.
    • (1978) Proc. Natl. Acad. Sci. USA , vol.75 , Issue.1 , pp. 40-42
    • Gosper, Jr.1    William, R.2
  • 11
    • 0031281466 scopus 로고    scopus 로고
    • Factorization of differential operators with rational functions coefficients
    • M. van Hoeij, 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
  • 12
    • 0032514334 scopus 로고    scopus 로고
    • Rational solutions of linear difference equations
    • Available from
    • M. van Hoeij, Rational solutions of linear difference equations, in: ISSAC'98 Proc., 1998, pp. 120-123. Available from http://www.math.fsu.edu/~hoeij/papers.html.
    • (1998) ISSAC'98 Proc. , pp. 120-123
    • Van Hoeij, M.1
  • 14
    • 0001072553 scopus 로고
    • The theory of non-commutative polynomials
    • O. Ore, The theory of non-commutative polynomials, Ann. Maths. 34 (1933) 480-508.
    • (1933) Ann. Maths. , vol.34 , pp. 480-508
    • Ore, O.1
  • 15
    • 0003171186 scopus 로고
    • Hypergeometric solutions of linear recurrences with polynomial coefficients
    • M. Petkovšek, Hypergeometric solutions of linear recurrences with polynomial coefficients, J. Symbolic Comput. 14 (2-3) (1992) 243-264.
    • (1992) J. Symbolic Comput. , vol.14 , Issue.2-3 , pp. 243-264
    • Petkovšek, M.1
  • 17
    • 0041523852 scopus 로고    scopus 로고
    • Testing reducibility of linear differential operators: A group theoretic perspective
    • M.F. Singer, Testing reducibility of linear differential operators: A group theoretic perspective, Appl. Algebra Eng. Commun. Comput. 7 (1996) 77-104.
    • (1996) Appl. Algebra Eng. Commun. Comput. , vol.7 , pp. 77-104
    • Singer, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.