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
References in zbMATH (referenced in 21 articles , 1 standard article )
Showing results 1 to 20 of 21.
Sorted by year (- Chern, Shane: Linked partition ideals, directed graphs and (q)-multi-summations (2020)
- Chern, Shane; Li, Zhitai: Linked partition ideals and kanade-Russell conjectures (2020)
- Uncu, Ali Kemal: A polynomial identity implying Schur’s partition theorem (2020)
- Berkovich, Alexander; Uncu, Ali Kemal: Polynomial identities implying Capparelli’s partition theorems (2019)
- Jakob Ablinger, Ali K. Uncu: qFunctions - A Mathematica package for q-series and partition theory applications (2019) arXiv
- Chern, Shane: Note on the truncated generalizations of Gauss’s square exponent theorem (2018)
- Koutschan, Christoph; Zhang, Yi: Desingularization in the (q)-Weyl algebra (2018)
- Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou: Coefficients of multiplication formulas for classical orthogonal polynomials (2016)
- Berkovich, Alexander: The tri-pentagonal number theorem and related identities (2009)
- Bowman, Douglas; McLaughlin, James; Sills, Andrew V.: Some more identities of the Rogers-Ramanujan type (2009)
- Kauers, Manuel; Koutschan, Christoph: A Mathematica package for (q)-holonomic sequences and power series (2009)
- Kauers, Manuel: SumCracker: A package for manipulating symbolic sums and related objects (2006)
- Sills, Andrew V.: Disturbing the Dyson conjecture, in a generally GOOD way (2006)
- Garoufalidis, Stavros; Lê, Thang T. Q.: The colored Jones function is (q)-holonomic (2005)
- Schneider, Carsten: Solving parameterized linear difference equations in terms of indefinite nested sums and products (2005)
- Alladi, Krishnaswami; Berkovich, Alexander: New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities (2004)
- Schneider, Carsten: The summation package Sigma: underlying principles and a rhombus tiling application (2004)
- Sills, Andrew V.: \textttRRtools-- a Maple package for aiding the discovery and proof of finite Rogers-Ramanujan type identities (2004)
- Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander: A new four parameter (q)-series identity and its partition implications (2003)
- Riese, Axel: \textttqMultiSum-- a package for proving (q)-hypergeometric multiple summation identities (2003)