# Math 262A, Fall 1999 Software

6/27/01: When the class was taught, everyone had accounts on a computer where all the software was installed.  The instructions given here were for that environment.  The pathnames given here no longer exist.  These instructions are illustrative only.

To use the software on your own computer, you will have to follow the links to the sites where the software came from, and obtain and install it yourself.

• Koepf's worksheets for Hypergeometric Summation
• The current software and worksheets accompanying Koepf's book Hypergeometric Summation can be downloaded from Koepf's web site; scroll down to "Hypergeometric Summation" under "Textbooks and Monographs." Also look here.
To use them on euclid, type

```cd ~m262f99/KOEPF/worksheetsV.4
xmaple &```
and then open a worksheet from "Open" in the "File" menu.  You can also set up netscape so that it will automatically open the file in xmaple when you select it below.
Koepf's worksheets for the text, by chapter. Maple V.4:  chap1.mws, ..., chap13.mws.
Koepf's worksheets for exercises, by chapter. Maple V.4: exer2.mws, ..., exer13.mws.
Additional software.  Maple V.4:   hsum.mpl   qsum.mpl
• Programs for Petkovsek, Wilf, and Zeilberger's A=B
• These are the web sites for Zeilberger's and Petkovsek's programs.  To use these programs on euclid, type

```cd ~m262f99/A=B/Maple
xmaple &```
or
```cd ~m262f99/A=B/Mathematica
mathematica &```
as appropriate, and then follow the directions in the book A=B.

Petkovsek's programs for A=B.  Mathematica programs gosper.m  Hyper  q-Hyper  WZ.

• Christian Krattenthaler.   Mathematica.    See his directions for hyp for hypergeometric series, and for rate for guessing formulas for sequences.
• ```cd ~m262f99/KRATT
mathematica &```
• Guessing sequences:
• Selected programs from INRIA
• Salvy, Zimmermann, & Murray:   Maple.  Generating functions package Gfun.

Sample files are in ~m262f99/GFUN
```xmaple &
with(gfun);
?gfun```
Chyzak: Maple.  Multivariable generating function package Mgfun.  See his web site and papers.
Demos/instructions are in ~m262f99/CHYZAK/Doc and ~m262f99/CHYZAK/Tests