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Improved Abramov-Petkovšek's Reduction and Creative Telescoping for Hypergeometric Terms

Published: 05 February 2015 Publication History
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References

[1]
S.A. Abramov and M. Petkovšek. Minimal decomposition of indefinite hypergeometric sums. Proc. of ISSAC
[2]
S.A. Abramov and M. Petkovšek. Rational normal forms and minimal decompositions of hypergeometric terms. J. Symbolic Comput., 33:521--543, 2002.
[3]
S.A. Abramov. When does Zeilberger's algorithm succeed? Adv. in Appl. Math., 30(3):424--441, 2003.
[4]
A. Bostan, S. Chen, F. Chyzak, Z. Li, and G. Xin. Hermite reduction and creative telescoping for hyperexponential functions. Proc. of ISSAC 2013, 77--84, New York, ACM, 2013.
[5]
R.W. Gosper, Jr. Decision procedure for indefinite hypergeometric summation. Proc. Nat. Acad. Sci. U.S.A., 75(1):40--42, 1978.
[6]
O. Ore. Sur la forme des fonctions hypergéométriques de plusieurs variables. J. Math. Pures Appl., 9(4):311--326, 1930.
[7]
M. Sato. Theory of prehomogeneous vector spaces (algebraic part) -- the English translation of Sato's lecture from Shintani's note. Nagoya Math. J., 120:1--34, 1990
  1. Improved Abramov-Petkovšek's Reduction and Creative Telescoping for Hypergeometric Terms

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    Published In

    cover image ACM Communications in Computer Algebra
    ACM Communications in Computer Algebra  Volume 48, Issue 3/4
    September/December 2014
    123 pages
    ISSN:1932-2232
    EISSN:1932-2240
    DOI:10.1145/2733693
    Issue’s Table of Contents

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 05 February 2015
    Published in SIGSAM-CCA Volume 48, Issue 3/4

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