qFunctions
swMATH ID:  30803 
Software Authors:  Jakob Ablinger, Ali K. Uncu 
Description:  qFunctions  A Mathematica package for qseries and partition theory applications. We describe the qFunctions Mathematica package for qseries and partition theory applications. This package includes both experimental and symbolic tools. The experimental set of elements includes guessers for qshift equations and recurrences for given qseries and fitting/finding explicit expressions for sequences of polynomials. This package can symbolically handle formal manipulations on qdifferential, qshift 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 qseries and partition theory applications Jakob Ablinger, Ali K. Uncu 
2019

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Referenced by 11 Authors
Referenced in 5 Serials
1  Journal of Mathematical Analysis and Applications 
1  Proceedings of the American Mathematical Society 
1  Journal of Symbolic Computation 
1  The Electronic Journal of Combinatorics 
1  AIMS Mathematics 
Referenced in 4 Fields
5  Combinatorics (05XX) 
4  Number theory (11XX) 
2  Special functions (33XX) 
1  Operations research, mathematical programming (90XX) 