Differential Reduction Techniques for the Evaluation of Feynman Diagrams
  Stable reduction methods will be important in the evaluation of high-order perturbative diagrams appearing in QCD and mixed QCD-electroweak radiative corrections at the LHC. Differential reduction techniques are useful for relating hypergeometric functions with shifted values of the parameters. We present a proposition relating the number of master integrals in the expansion of a Feynman diagram to the number of derivatives in a differential reduction. 
S.A. Yost, V.V. Bytev, M.Yu. Kalmykov, B.A. Kniehl and B.F.L. Ward
math-ph hep-ph hep-th math.MP