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Volumn 8, Issue 1-2, 1999, Pages 3-12

Integration of solutions of linear functional equations

Author keywords

Adjoint; Hypergeometric sequence; Integrating factor; Integration; Ore ring; Special function; Summation

Indexed keywords


EID: 0346876958     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/10652469908819212     Document Type: Article
Times cited : (43)

References (14)
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    • USSR Comput. Maths. Math. Phys. , vol.29 , pp. 7-12
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  • 2
    • 0000614866 scopus 로고    scopus 로고
    • Transl. from
    • S.A. Abramov, Rational solutions of linear difference and differential equations with polynomial coefficients, USSR Comput. Maths. Math. Phys. 29, 7-12. Transl. from Z1. Vychislit. matem. mat. fiz. 29(1989), 1611-1620.
    • (1989) Z1. Vychislit. Matem. Mat. Fiz. , vol.29 , pp. 1611-1620
  • 3
    • 0009306219 scopus 로고
    • Fast algorithm to search for the rational solutions of linear differential equations
    • S.A. Abramov and K.Yu. Kvashenko, Fast algorithm to search for the rational solutions of linear differential equations, Proc. ISSAC'91 (1991), 267-270.
    • (1991) Proc. ISSAC'91 , pp. 267-270
    • Abramov, S.A.1    Kvashenko, K.Yu.2
  • 4
    • 0042739727 scopus 로고
    • Rational solutions of linear difference and q-difference equations with polynomial coefficients
    • S.A. Abramov, Rational solutions of linear difference and q-difference equations with polynomial coefficients, Programming and Comput. Software 21, No.6 (1995), 273-278. Transl. from Programmirovanie, No.6 (1995), 3-11.
    • (1995) Programming and Comput. Software , vol.21 , Issue.6 , pp. 273-278
    • Abramov, S.A.1
  • 5
    • 33744951205 scopus 로고
    • Transl. from
    • S.A. Abramov, Rational solutions of linear difference and q-difference equations with polynomial coefficients, Programming and Comput. Software 21, No.6 (1995), 273-278. Transl. from Programmirovanie, No.6 (1995), 3-11.
    • (1995) Programmirovanie , Issue.6 , pp. 3-11
  • 6
    • 0030688696 scopus 로고    scopus 로고
    • A method for the integration of solutions of Ore equations
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    • (1997) Proc. ISSAC'97 , pp. 172-175
    • Abramov, S.A.1    Van Hoeij, M.2
  • 7
    • 0009074143 scopus 로고    scopus 로고
    • q-Hypergeometric solutions of q-difference equations
    • S.A. Abramov, P. Paule and M. Petkovs̈ek, q-Hypergeometric solutions of q-difference equations, Discrete Math. 180(1998), 3-22.
    • (1998) Discrete Math. , vol.180 , pp. 3-22
    • Abramov, S.A.1    Paule, P.2    Petkovs̈ek, M.3
  • 8
    • 0030651494 scopus 로고    scopus 로고
    • Minimal completely factorable annihilators
    • S.A. Abramov and E.V. Zima, Minimal completely factorable annihilators, Proc. ISSAC'97 (1997), 290-297.
    • (1997) Proc. ISSAC'97 , pp. 290-297
    • Abramov, S.A.1    Zima, E.V.2
  • 9
    • 0010194272 scopus 로고    scopus 로고
    • An extension of Zeilberger's fast algorithm to general holonomic functions
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    • (1997) Proc. FPSAC'97 , pp. 172-183
    • Chyzak, F.1
  • 12
    • 0038840100 scopus 로고
    • Decision procedure for indefinite hypergeometric summation
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  • 13
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    • Rational solutions of the mixed differential equation and its application to factorization of differential operators
    • M. van Hoeij, Rational solutions of the mixed differential equation and its application to factorization of differential operators, Proc. ISSAC'96 (1996), 219-225.
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  • 14
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    • The theory of non-commutative polynomials
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.