Analytical evaluation of the lattice Green function for the face   centered cubic lattice
  An efficient calculation method is proposed for the face centered cubic (FCC) lattice Green function. The method is based on binomial expansion theorems, which is provide us establish analytical formulae through simple basic integrals. The resulting series present better convergence rates. Several acceleration techniques are combined to further improve the efficiency. The obtained results for the lattice Green function are in good agreement with the known numerical calculation results. 
B.A. Mamedov
math-ph math.MP