Manuel Kauers, Christoph Koutschan,
"A Mathematica Package for q-Holonomic Sequences and Power Series"
, in The Ramanujan Journal, Vol. 19, Nummer 2, Springer, Seite(n) 137--150, 2009, ISSN: 1382-4090
A Mathematica Package for q-Holonomic Sequences and Power Series
Sprache des Titels:
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.