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Volumn 28, Issue 4-5, 1999, Pages 711-736

Multibasic and Mixed Hypergeometric Gosper-Type Algorithms

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EID: 0042545136     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1999.0321     Document Type: Article
Times cited : (41)

References (27)
  • 1
    • 0042739727 scopus 로고
    • Rational solutions of linear difference and q -difference equations with polynomial coefficients
    • Abramov S. A. Rational solutions of linear difference and q -difference equations with polynomial coefficients. Program. Comput. Software. 21:1995;273-278.
    • (1995) Program. Comput. Software , vol.21 , pp. 273-278
    • Abramov, S.A.1
  • 3
    • 0009074143 scopus 로고    scopus 로고
    • Q -Hypergeometric solutions of q -difference equations
    • Abramov S. A., Paule P., Petkovšek M. 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    Petkovšek, M.3
  • 4
    • 0010088447 scopus 로고
    • The method of differentiating under the integral sign
    • Almkvist G., Zeilberger D. The method of differentiating under the integral sign. J. Symb. Comput. 10:1990;571-591.
    • (1990) J. Symb. Comput. , vol.10 , pp. 571-591
    • Almkvist, G.1    Zeilberger, D.2
  • 5
  • 9
    • 0038840100 scopus 로고
    • Decision procedure for indefinite hypergeometric summation
    • Gosper Jr, R. W.,. Decision procedure for indefinite hypergeometric summation. Proc. Natl. Acad. Sci. USA. 75:1978;40-42.
    • (1978) Proc. Natl. Acad. Sci. USA , vol.75 , pp. 40-42
    • Gosper R.W., Jr.1
  • 10
    • 0042023646 scopus 로고    scopus 로고
    • R. W. Gosper, Jr.
    • R. W. Gosper, Jr.
  • 11
    • 0032514334 scopus 로고    scopus 로고
    • Gloor, O. ACM Press, New York, 123
    • M. van Hoeij, Proceedings ISSAC '98, Gloor, O. 1998a, ACM Press, New York, 120, 123.
    • (1998) Proceedings ISSAC '98 , pp. 120
    • Van Hoeij, M.1
  • 14
    • 38248999979 scopus 로고
    • On Zeilberger's algorithm and its q -analogue
    • Koornwinder T. H. On Zeilberger's algorithm and its q -analogue. J. Comput. Appl. Math. 48:1993;91-111.
    • (1993) J. Comput. Appl. Math. , vol.48 , pp. 91-111
    • Koornwinder, T.H.1
  • 17
    • 0001511724 scopus 로고
    • Greatest factorial factorization and symbolic summation
    • Paule P. Greatest factorial factorization and symbolic summation. J. Symb. Comput. 20:1995;235-268.
    • (1995) J. Symb. Comput. , vol.20 , pp. 235-268
    • Paule, P.1
  • 18
    • 0001487910 scopus 로고    scopus 로고
    • A Mathematica q -analogue of Zeilberger's algorithm based on an algebraically motivated approach to q -hypergeometric telescoping
    • Paule P., Riese A. A Mathematica q -analogue of Zeilberger's algorithm based on an algebraically motivated approach to q -hypergeometric telescoping. Fields Inst. Comm. 14:1997;179-210.
    • (1997) Fields Inst. Comm. , vol.14 , pp. 179-210
    • Paule, P.1    Riese, A.2
  • 20
    • 0003171186 scopus 로고
    • Hypergeometric solutions of linear recurrences with polynomial coefficients
    • Petkovšek M. Hypergeometric solutions of linear recurrences with polynomial coefficients. J. Symb. Comput. 14:1992;243-264.
    • (1992) J. Symb. Comput. , vol.14 , pp. 243-264
    • Petkovšek, M.1
  • 21
    • 0010153527 scopus 로고    scopus 로고
    • A generalization of Gosper's algorithm to bibasic hypergeometric summation
    • Riese A. A generalization of Gosper's algorithm to bibasic hypergeometric summation. Electr. J. Comb. 3:1996;#R19.
    • (1996) Electr. J. Comb. , vol.3 , pp. 19
    • Riese, A.1
  • 22
    • 0042023642 scopus 로고    scopus 로고
    • Some summation formula for multibasic hypergeometric series
    • Singh U. B. Some summation formula for multibasic hypergeometric series. Glas. Mat. 31:1996;263-268.
    • (1996) Glas. Mat. , vol.31 , pp. 263-268
    • Singh, U.B.1
  • 24
    • 0001169022 scopus 로고
    • An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities
    • Wilf H. S., Zeilberger D. An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities. Invent. Math. 108:1992;575-633.
    • (1992) Invent. Math. , vol.108 , pp. 575-633
    • Wilf, H.S.1    Zeilberger, D.2
  • 25
    • 0002128111 scopus 로고
    • A fast algorithm for proving terminating hypergeometric identities
    • Zeilberger D. A fast algorithm for proving terminating hypergeometric identities. Discrete Math. 80:1990a;207-211.
    • (1990) Discrete Math. , vol.80 , pp. 207-211
    • Zeilberger, D.1
  • 26
    • 0042023649 scopus 로고    scopus 로고
    • D. Zeilberger, q
    • D. Zeilberger, q.
  • 27
    • 73949145301 scopus 로고
    • The method of creative telescoping
    • Zeilberger D. The method of creative telescoping. J. Symb. Comput. 11:1991;195-204.
    • (1991) J. Symb. Comput. , vol.11 , pp. 195-204
    • Zeilberger, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.