Symbolic Expansion of Transcendental Functions

Higher transcendental function occur frequently in the calculation of Feynman integrals in quantum field theory. Their expansion in a small parameter is a non-trivial task. We report on a computer program which allows the systematic expansion of certain classes of functions. The algorithms are based on the Hopf algebra of nested sums. The program is written in C++ and uses the GiNaC library. PROGRAM SUMMARY Title of program: nestedsums Version: 1.0 Catalogue number: Program obtained from: http://www.fis.unipr.it/ ̃stefanw/nestedsums E-mail: [email protected] License: GNU Public License Computers: all Operating system: all Program language: C++ Memory required to execute: depending on the complexity of the problem, at least 64 MB RAM recommended Other programs called: GiNaC 0.8.3, a library for symbolic calculations in C++, is required. It is available from http://www.ginac.de. Optionally, the program can also be used interactively. In this case the program gTybalt, available from http://www.fis.unipr.it/ ̃stefanw/gtybalt.html is needed. External files needed: none