In this article we give a decomposition for harmonic functions in an infinite network X which is similar to the Laurent decomposition of harmonic functions defined on an annulus in ℝn, n ≥ 2. Also we give a decomposition for biharmonic functions on bihyperbolic infinite networks.
"Laurent decomposition for harmonic and biharmonic functions in an infinite network." Hokkaido Math. J. 42 (3) 345 - 356, February 2013. https://doi.org/10.14492/hokmj/1384273386