The Mathematica package qFunctions for q-series and partition theory applications

Abstract: In this talk, I will demonstrate the new Mathematica package qFunctions while providing relevant mathematical context. This implementation has symbolic tools to automate some tedious and error-prone calculations and it also includes some other functionality for experimentation. We plan to highlight the four main tool-sets included in the qFunctions package:

(1) The q-difference equation (or recurrence) guesser and some formal manipulation tools, (2) the treatment of the method of weighted words and automatically finding and uncoupling recurrences,

(3) a method on the cylindrical partitions to establish sum-product identities, (4) fitting polynomials with suggested well-known objects to guess closed formulas.

This talk is based on joint work with Jakob Ablinger (RISC).

classical analysis and ODEscombinatoricsnumber theory

Audience: researchers in the topic

Special Functions and Number Theory seminar

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