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We describe the qFunctions Mathematica package for $q$-series and partitiontheory applications. This package includes both experimental and symbolictools. The experimental set of elements includes guessers for $q$-shiftequations and recurrences for given $q$-series and fitting/finding explicitexpressions for sequences of polynomials. This package can symbolically handleformal manipulations on $q$-differential, $q$-shift equations and recurrences,such as switching between these forms, finding the greatest common divisor ofrecurrences, and formal substitutions. Here, we also extend the classicalmethod of the weighted words approach. Moreover, qFunctions has implementationsthat automate the recurrence system creation of the weighted words approach aswell as a scheme on cylindric partitions.

qFunctions -- A Mathematica package for $q$-series and partition theory applications