OreSys

OreSys: A Mathematica implementation of several algorithms for uncoupling systems of linear Ore operator equations. OreSys is a Mathematica package for uncoupling systems of linear Ore operator equations. It offers four algorithms for reducing systems of differential or (q-)difference equations to higher order equations in a single unknown variable. The package has been developed by Stefan Gerhold, a former member of the RISC Combinatorics group.


References in zbMATH (referenced in 11 articles )

Showing results 1 to 11 of 11.
Sorted by year (citations)

  1. Blümlein, Johannes: Large scale analytic calculations in quantum field theories (2020)
  2. Ablinger, J.; Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.: Automated solution of first order factorizable systems of differential equations in one variable (2019)
  3. Blümlein, J.; Marquard, P.; Rana, N.; Schneider, C.: The heavy fermion contributions to the massive three loop form factors (2019)
  4. Ablinger, J.; Blümlein, J.; De Freitas, A.; van Hoeij, M.; Imamoglu, E.; Raab, C. G.; Radu, C.-S.; Schneider, C.: Iterated elliptic and hypergeometric integrals for Feynman diagrams (2018)
  5. Blümlein, Johannes; Schneider, Carsten: Analytic computing methods for precision calculations in quantum field theory (2018)
  6. Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.: The three-loop splitting functions (P_q g^(2)) and (P_g g^(2, \operatornameN_\operatornameF)) (2017)
  7. Blümlein, Johannes; Schneider, Carsten: The method of arbitrarily large moments to calculate single scale processes in quantum field theory (2017)
  8. Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.: Calculating three loop ladder and (V)-topologies for massive operator matrix elements by computer algebra (2016)
  9. Ablinger, J.; Behring, A.; Blümlein, J.; De Freitas, A.; von Manteuffel, A.; Schneider, C.: The 3-loop pure singlet heavy flavor contributions to the structure function (F_2(x, Q^2)) and the anomalous dimension (2015)
  10. Ablinger, J.; Blümlein, J.; De Freitas, A.; Hasselhuhn, A.; von Manteuffel, A.; Round, M.; Schneider, C.: The (O(\alpha_s^3 T_F^2)) contributions to the gluonic operator matrix element (2014)
  11. Schneider, Carsten: A new Sigma approach to multi-summation (2005)