Nestedsums library
Nestedsums library
Author
Stefan Weinzierl
Version
1.5.1

The nestedsums library can be used for the symbolic expansion of a certain class of transcendental functions.

The library is described in : S. Weinzierl, "Symbolic Expansion of Transcendental Functions", Comp. Phys. Comm. 145, (2002), 357, http://arXiv.org/abs/math-ph/0201011

Downloads for the nestedsums library: The current version is 1.5.1. It requires at least GiNaC version 1.7. The source code can be downloaded from http://wwwthep.physik.uni-mainz.de/~stefanw/download/nestedsums-1.5.1.tar.gz

A version, which works with GiNaC version 1.5 or 1.6 can be downloaded from http://wwwthep.physik.uni-mainz.de/~stefanw/download/nestedsums-1.4.12.tar.gz

An older version, which works with GiNaC version 1.4 can be downloaded from http://wwwthep.physik.uni-mainz.de/~stefanw/download/nestedsums-1.4.11.tar.gz

An even older version, which works with GiNaC version 1.3 can be downloaded from http://wwwthep.physik.uni-mainz.de/~stefanw/download/nestedsums-1.4.9.tar.gz

A medieval version, which works with GiNaC version 1.1 or 1.2 can be downloaded from http://wwwthep.physik.uni-mainz.de/~stefanw/download/nestedsums-1.4.5.tar.gz

A prehistoric version, which works with GiNaC version 1.0 can be downloaded from http://wwwthep.physik.uni-mainz.de/~stefanw/download/nestedsums-1.1.1.tar.gz

The algorithms for the expansion are based on algebraic manipulations of nested sums and are described in detail in : S. Moch, P. Uwer and S. Weinzierl, "Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals", J. Math. Phys. 43, (2002), 3363, http://arXiv.org/abs/hep-ph/0110083

Algorithms for the expansion around rational numbers can be found in : S. Weinzierl, "Expansion around half-integer values, binomial sums and inverse binomial sums", J. Math. Phys. 45, (2004), 2656, http://arXiv.org/abs/hep-ph/0402131

The library is written in C++ and uses the GiNaC library. GiNaC can be obtained from http://www.ginac.de

Documentation of the library is inserted as comment lines inside the source code and can be extracted with the help of the documentation system "doxygen". Doxygen is available from http://www.stack.nl/~dimitri/doxygen

The functions which the library provides can also be used interactively with the help of the gTybalt program. gTybalt is available from http://wwwthep.physik.uni-mainz.de/~stefanw/gtybalt.html

When the library is used for scientific work that leads to publication in a scientific journal, please refer to this program as : S. Weinzierl, "Symbolic Expansion of Transcendental Functions", Comp. Phys. Comm. 145, (2002), 357, (math-ph/0201011)