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 16 articles , 1 standard article )

Showing results 1 to 16 of 16.
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  1. Jakob Ablinger, Ali K. Uncu: qFunctions - A Mathematica package for q-series and partition theory applications (2019) arXiv
  2. Chern, Shane: Note on the truncated generalizations of Gauss’s square exponent theorem (2018)
  3. Koutschan, Christoph; Zhang, Yi: Desingularization in the (q)-Weyl algebra (2018)
  4. Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou: Coefficients of multiplication formulas for classical orthogonal polynomials (2016)
  5. Berkovich, Alexander: The tri-pentagonal number theorem and related identities (2009)
  6. Bowman, Douglas; McLaughlin, James; Sills, Andrew V.: Some more identities of the Rogers-Ramanujan type (2009)
  7. Kauers, Manuel; Koutschan, Christoph: A Mathematica package for (q)-holonomic sequences and power series (2009)
  8. Kauers, Manuel: SumCracker: A package for manipulating symbolic sums and related objects (2006)
  9. Sills, Andrew V.: Disturbing the Dyson conjecture, in a generally GOOD way (2006)
  10. Garoufalidis, Stavros; Lê, Thang T. Q.: The colored Jones function is (q)-holonomic (2005)
  11. Schneider, Carsten: Solving parameterized linear difference equations in terms of indefinite nested sums and products (2005)
  12. Alladi, Krishnaswami; Berkovich, Alexander: New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities (2004)
  13. Schneider, Carsten: The summation package Sigma: underlying principles and a rhombus tiling application (2004)
  14. Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander: A new four parameter (q)-series identity and its partition implications (2003)
  15. Riese, Axel: \textttqMultiSum-- a package for proving (q)-hypergeometric multiple summation identities (2003)
  16. Berkovich, Alexander; Riese, Axel: A computer proof of a polynomial identity implying a partition theorem of Göllnitz (2001)