Available Software:
- Sigma, a Mathematica
package for discovering and proving multi-sum identities
based on difference fields (by C. Schneider)
- HarmonicSums, a
Mathematica package for allows to deal with nested sums
such as harmonic sums, S-sums, cyclotomic sums and
cyclotmic S-sums as well as iterated integrals such as
harmonic polylogarithms, multiple polylogarithms and
cyclotomic polylogarithms in an algorithmic fashion (by
J. Ablinger).
- EvaluateMultiSums, a
Mathematica package for the simplification of definite
multi-sums in terms of indefinite nested sums and products
(by C. Schneider).
- SumProduction, a
Mathematica package for handling large scale problems in
terms of multi-sums. This package requires
EvaluateMultiSums and Sigma (by C. Schneider; in
preparation).
- MultiIntegrate, a
Mathematica package for computing multiple integrals (by
J. Ablinger).
- PLDESolver, a Mathematica
package for solving non-degenerated parameterized linear
difference equations in difference rings with
zero-divisors (by J. Ablinger and C. Schneider).
-
HolonomicContinuation, a Mathematica
package for the analytic continuation of holonomic
funtions (by A. De Freitas, J. Obrovsky, C. Schneider)
- Rica, a
Mathematica package package for calculating
Mellin representations and asymptotic expansions at
infinity of binomially weighted sums (by N. Fadeev)
- RhoSum, experimental code
of a Mathematica package for a Refined HOlonomic SUmmation
based on difference field theory (by M. Round; in
preparation).
- SolveCoupledSystem, a
Mathematica package for solving coupled systems of
differential and difference equations in terms of nested
sums and products (by C. Schneider, in preparation).
- SystemAnalysis, a
Mathematica package to analyse first order coupled
differential systems depending on a parameter ε and to
determine, before any solving is attempted, the minimal
ε-orders to which the inhomogeneous part has to be
expanded (by N. Fadeev)
- FSums, a Mathematica
package for evaluting multi-sums (by F. Stan, in
preparation).
