A Mathematica Package for q-Holonomic Sequences and Power Series

Manuel Kauers; Christoph Koutschan

doi:10.1007/s11139-008-9132-2

A Mathematica Package for q-Holonomic Sequences and Power Series

Manuel Kauers
, Christoph Koutschan

Research Institute for Symbolic Computation

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	137-150
Number of pages	14
Journal	The Ramanujan Journal
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s11139-008-9132-2
Publication status	Published - Jul 2009

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

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10.1007/s11139-008-9132-2

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A Mathematica Package for q-Holonomic Sequences and Power Series

Abstract

Fields of science

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