qFunctions – A Mathematica package for q-series and partition theory applications

A MATHEMATICA PACKAGE FOR q-HOLONOMIC SEQUENCES AND POWER SERIES

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...

xTras: a field-theory inspired xAct package for Mathematica

✩ This paper and its associated computer program are available via the Computer Physics Communication homepage on ScienceDirect (http://www.sciencedirect.com/ science/journal/00104655). ∗ Tel.: +49 3315677114. E-mail addresses: [email protected], [email protected]. http://dx.doi.org/10.1016/j.cpc.2014.02.006 0010-4655/© 2014 Elsevier B.V. All rights reserved. 1720 T. Nutma / Computer P...

Quaternions: A Mathematica Package for Quaternionic Analysis

This paper describes new issues of the Mathematica standard package Quaternions for implementing Hamilton’s Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions. A collection of new functions is introduced in order to provide basic mathematical tools necessary for dealing with re...

Matrix Algebra Package for Mathematica

A Mathematica q - Analogue

Mathematica implementations, available by email request, of q-analogues of Gosper's and Zeilberger's algorithm are described. Nontrivial examples are given in order to illustrate the usage of these packages. The algorithms are based on a new approach to q-hypergeometric telescoping in which a new algebraic concept, q-greatest factorial factorization (qGFF), plays a fundamental role.