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Volumn 3, Issue 1 R, 1996, Pages 1-16

A generalization of Gosper's algorithm to bibasic hypergeometric summation

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EID: 0010153527     PISSN: 10778926     EISSN: 10778926     Source Type: Journal    
DOI: 10.37236/1243     Document Type: Article
Times cited : (6)

References (14)
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    • Al-Salam, W.1    Verma, A.2
  • 3
    • 84966234176 scopus 로고
    • Summation, transformation, and expansion formulas for bibasic series
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  • 4
    • 0002005655 scopus 로고
    • An indefinite bibasic summation formula and some quadratic, cubic, and quartic summation and transformation formulas
    • G. Gasper and M. Rahman, An indefinite bibasic summation formula and some quadratic, cubic, and quartic summation and transformation formulas, Canad. J. Math., 42 (1990), 1-27.
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    • Gasper, G.1    Rahman, M.2
  • 5
    • 0003344023 scopus 로고
    • Basic hypergeometric series
    • (G.-C. Rota, ed.), Cambridge University Press, London and New York
    • G. Gasper and M. Rahman, Basic Hypergeometric Series, Encyclopedia of Mathematics and its Applications, 35 (G.-C. Rota, ed.), Cambridge University Press, London and New York, 1990.
    • (1990) Encyclopedia of Mathematics and Its Applications , vol.35
    • Gasper, G.1    Rahman, M.2
  • 6
    • 84967774617 scopus 로고
    • Applications of q-Lagrange inversion to basic hypergeometric series
    • I.M. Gessel and D. Stanton, Applications of q-Lagrange inversion to basic hypergeometric series, Trans. Amer. Math. Soc., 277 (1983), 173-201.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 173-201
    • Gessel, I.M.1    Stanton, D.2
  • 7
    • 0038840100 scopus 로고
    • Decision procedures for indefinite hypergeometric summation
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  • 8
    • 0001511724 scopus 로고
    • Greatest factorial factorization and symbolic summation
    • P. Paule, Greatest factorial factorization and symbolic summation, J. Symbolic Computation, 20 (1995), 235-268.
    • (1995) J. Symbolic Computation , vol.20 , pp. 235-268
    • Paule, P.1
  • 9
    • 0001487910 scopus 로고
    • A Mathematica q-analogue of Zeilberger's algorithm based on an algebraically motivated approach to q-hypergeometric telescoping
    • preprint, to appear , organized by the Fields Institute for Research in Mathematical Sciences at University College, 12-23 June Toronto, Ontario.
    • P. Paule and A. Riese, A Mathematica q-analogue of Zeilberger's algorithm based on an algebraically motivated approach to q-hypergeometric telescoping, preprint, to appear in Fields Proceedings of the Workshop on "Special Functions, q-Series and Related Topics", organized by the Fields Institute for Research in Mathematical Sciences at University College, 12-23 June 1995, Toronto, Ontario.
    • (1995) Fields Proceedings of the Workshop on "Special Functions, Q-Series and Related Topics"
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  • 10
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  • 13
    • 0001169022 scopus 로고
    • An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities
    • H.S. Wilf and D. Zeilberger, An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral identities, Invent. Math., 108 (1992), 575-633.
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    • Wilf, H.S.1    Zeilberger, D.2
  • 14
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    • A fast algorithm for proving terminating hypergeometric identities
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