Lattice Green function \((at \;0)\) for the \(4D\) hypercubic lattice. (English) Zbl 0844.33005
Summary: The generating function for recurrent Pólya walks on the four-dimensional hypercubic lattice is expressed as a Kampé-de Fériet function. Various properties of the associated walks are enumerated.
MSC:
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
