qFunctions
Short Description
The
qFunctions package by
Jakob Ablinger and
Ali K. Uncu
is a 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.
Registration and Legal Notices
The source code for this package is password protected. To get the password
send an email to
Peter Paule.
It will be given for free to all researchers and non-commercial users.
Copyright © 1999–2019 The RISC Combinatorics Group, Austria — all rights reserved.
Commercial use of the software is prohibited without prior written permission.
A Note on Encoded Files
This package contains one or more Mathematica input files which are encoded. Those files
cannot be read or modified directly as plain text, but can be loaded into
Mathematica just like any normal input file (i.e., with
<<"file" or
Get["file"]).
There is no need (and also no way) to decode them by using additional software
or a special key.
If loading an encoded file causes a syntax error, open it with a
text editor and remove any blank lines at the beginning (for some
reason your Mac could have inserted them silently...).
The Package
The package is contained in the Mathematica input file
After loading the package, type
qFunctionsList to get a description of the available commands.
Right now you are using Version 1.0 released on October 24, 2019.
This version was tested with Mathematica versions 11.3 and 12.0.
Please report any bugs, comments and requests to
Jakob Ablinger or
Ali K. Uncu.
Literature
- qFunctions - A Mathematica package for q-series and partition theory applications
[pdf]