Solving Differential Equations in Terms of Bessel Functions

On this page you find some materials to the paper submited to the ISSAC conference 2008 by Wolfram Koepf, Mark van Hoeij and me. You will also find information about my master thesis which covers the same topic.

If you want, you can download the whole page.


  1. The Algorithm
  2. ISSAC 2008
  3. Master Thesis

The Algorithm

Download (Version 2.0.3 --- September 04, 2007)

The algorithm was written by Mark van Hoeij and me during my visit at Florida State University, Tallahasse, FL, USA.

ISSAC 2008

We submited a paper to the ISSAC conference, which will be held July 20--23, 2008 at the University of Linz, Austria. More information can be found on their website.

You will find two examples in the paper. The first one can almost be done by hand but some commands in Maple will help you. The latter can be found in more detail in my master thesis (example 3.29, see below). The operator given at the very end of the paper is an examples which cannot be solved by Maple 12. It can be solved by the following commands.

Master Thesis

Download thesis: master.pdf
Advisor: Professor Dr. Wolfram Koepf

Additional Files

Examples With Maple

You can either download a classic Maple worksheet (mws) created by Maple 9 or a plain text file (mpl) including only the input commands. The mpl files can be loaded into Maple with the read command.

Chapter 1: Preliminaries

Chapter 2: Transformations

Chapter 3: Solving in Terms of Bessel Functions

Chapter 4: Conclusion

Last Update: July 17, 2008