qMultiSum

The author gives a MATHEMATICA package for finding recurrences for q-hypergeometric multiple sums. First, the theoretical background of Sister Celine’s technique and its extensions are discussed. Second, a manual for the package is provided. Several examples illustrate the usage and also the limitations of the package

Keywords for this software

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References in zbMATH (referenced in 15 articles , 1 standard article )

Showing results 1 to 15 of 15.
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  1. Chern, Shane: Note on the truncated generalizations of Gauss’s square exponent theorem (2018)
  2. Koutschan, Christoph; Zhang, Yi: Desingularization in the $q$-Weyl algebra (2018)
  3. Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou: Coefficients of multiplication formulas for classical orthogonal polynomials (2016)
  4. Berkovich, Alexander: The tri-pentagonal number theorem and related identities (2009)
  5. Bowman, Douglas; McLaughlin, James; Sills, Andrew V.: Some more identities of the Rogers-Ramanujan type (2009)
  6. Kauers, Manuel; Koutschan, Christoph: A Mathematica package for $q$-holonomic sequences and power series (2009)
  7. Kauers, Manuel: SumCracker: A package for manipulating symbolic sums and related objects (2006)
  8. Sills, Andrew V.: Disturbing the Dyson conjecture, in a generally GOOD way (2006)
  9. Garoufalidis, Stavros; L^e, Thang T. Q.: The colored Jones function is $q$-holonomic (2005)
  10. Schneider, Carsten: Solving parameterized linear difference equations in terms of indefinite nested sums and products (2005)
  11. Alladi, Krishnaswami; Berkovich, Alexander: New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities (2004)
  12. Schneider, Carsten: The summation package Sigma: underlying principles and a rhombus tiling application (2004)
  13. Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander: A new four parameter $q$-series identity and its partition implications (2003)
  14. Riese, Axel: qMultiSum -- a package for proving $q$-hypergeometric multiple summation identities (2003)
  15. Berkovich, Alexander; Riese, Axel: A computer proof of a polynomial identity implying a partition theorem of Göllnitz (2001)