|
|
|
|
|
|
|
|
A Mathematica package for q-holonomic sequences and power series
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
The package can be downloaded from http://www.risc.jku.at/research/combinat/software/qGeneratingFunctions/index.php
|
|
|
|
|
|
We describe a Mathematica package for dealing with q-holonomic sequences and power series. The package is intended as a q-analogue of the Maple package gfun and the Mathematica package GeneratingFunctions. It provides commands for addition, multiplication, and substitution of these objects, for converting between various representations (q-differential equations, q-recurrence equations, q-shift equations), for computing sequence terms and power series coefficients, and for guessing recurrence equations given initial terms of a sequence.
|
|
|
|
|
|
|
|
|
|
|
|
computer algebra, q-Calculus, power series, recurrence equations
|
|