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qFunctions

swMATH ID: 30803
Software Authors: Jakob Ablinger, Ali K. Uncu
Description: qFunctions - A Mathematica package for q-series and partition theory applications. We describe the qFunctions Mathematica package for q-series and partition theory applications. This package includes both experimental and symbolic tools. The experimental set of elements includes guessers for q-shift equations and recurrences for given q-series and fitting/finding explicit expressions for sequences of polynomials. This package can symbolically handle formal manipulations on q-differential, q-shift equations and recurrences, such as switching between these forms, finding the greatest common divisor of recurrences, and formal substitutions. Here, we also extend the classical method of the weighted words approach. Moreover, qFunctions has implementations that automate the recurrence system creation of the weighted words approach as well as a scheme on cylindric partitions.
Homepage: https://www3.risc.jku.at/research/combinat/software/qFunctions/
Dependencies: Mathematica
Keywords: Symbolic Computation; arXiv_cs.SC; Combinatorics; arXiv_math.CO; Number Theory; arXiv_math.NT; Mathematica package
Related Software: qMultiSum; qGeneratingFunctions; RATE; HYP; qseries; SIGMA; RRtools; Mathematica; Guess.m; IdentityFinder; OLAF; recpf; qZeil
Referenced in: 5 Publications

Standard Articles

2 Publications describing the Software, including 1 Publication in zbMATH Year
qFunctions – a Mathematica package for \(q\)-series and partition theory applications. Zbl 1465.05001
Ablinger, Jakob; Uncu, Ali Kemal
2021
qFunctions - A Mathematica package for q-series and partition theory applications
Jakob Ablinger, Ali K. Uncu
2019

Referencing Publications by Year