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 21 articles , 1 standard article )

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  1. Chern, Shane: Linked partition ideals, directed graphs and (q)-multi-summations (2020)
  2. Chern, Shane; Li, Zhitai: Linked partition ideals and kanade-Russell conjectures (2020)
  3. Uncu, Ali Kemal: A polynomial identity implying Schur’s partition theorem (2020)
  4. Berkovich, Alexander; Uncu, Ali Kemal: Polynomial identities implying Capparelli’s partition theorems (2019)
  5. Jakob Ablinger, Ali K. Uncu: qFunctions - A Mathematica package for q-series and partition theory applications (2019) arXiv
  6. Chern, Shane: Note on the truncated generalizations of Gauss’s square exponent theorem (2018)
  7. Koutschan, Christoph; Zhang, Yi: Desingularization in the (q)-Weyl algebra (2018)
  8. Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou: Coefficients of multiplication formulas for classical orthogonal polynomials (2016)
  9. Berkovich, Alexander: The tri-pentagonal number theorem and related identities (2009)
  10. Bowman, Douglas; McLaughlin, James; Sills, Andrew V.: Some more identities of the Rogers-Ramanujan type (2009)
  11. Kauers, Manuel; Koutschan, Christoph: A Mathematica package for (q)-holonomic sequences and power series (2009)
  12. Kauers, Manuel: SumCracker: A package for manipulating symbolic sums and related objects (2006)
  13. Sills, Andrew V.: Disturbing the Dyson conjecture, in a generally GOOD way (2006)
  14. Garoufalidis, Stavros; Lê, Thang T. Q.: The colored Jones function is (q)-holonomic (2005)
  15. Schneider, Carsten: Solving parameterized linear difference equations in terms of indefinite nested sums and products (2005)
  16. Alladi, Krishnaswami; Berkovich, Alexander: New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities (2004)
  17. Schneider, Carsten: The summation package Sigma: underlying principles and a rhombus tiling application (2004)
  18. Sills, Andrew V.: \textttRRtools-- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities (2004)
  19. Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander: A new four parameter (q)-series identity and its partition implications (2003)
  20. Riese, Axel: \textttqMultiSum-- a package for proving (q)-hypergeometric multiple summation identities (2003)

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