A Mathematica package for q-holonomic sequences and power series
A Mathematica package for q-holonomic sequences and power series
复制标题
DOI：
10.1007/s11139-008-9132-2
复制
发表时间：
2009-07-01
影响因子：
0.7
通讯作者：
Koutschan, Christoph
中科院分区：
文献类型：
--
作者：
Kauers, Manuel;Koutschan, Christoph
我们描述了一个Mathematica软件包，用于处理q-完整序列和幂级数。该软件包旨在作为Maple软件包gfun和Mathematica软件包GeneratingFunctions的q模拟。它提供了对这些对象进行加法、乘法和替换的命令，用于在各种表示（q-微分方程、q-递归方程、q-移位方程）之间进行转换的命令，用于计算序列项和幂级数系数的命令，以及用于在给定序列的初始项的情况下猜测递归方程的命令。
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.