%0 Journal Article
%T Graphical functions in parametric space
%A Marcel Golz
%A Erik Panzer
%A Oliver Schnetz
%J Physics
%D 2015
%I arXiv
%X Graphical functions are positive functions on the punctured complex plane $\mathbb{C}\setminus\{0,1\}$ which arise in quantum field theory. We generalize a parametric integral representation for graphical functions due to Lam, Lebrun and Nakanishi, which implies the real analyticity of graphical functions. Moreover we prove a formula that relates graphical functions of planar dual graphs.
%U http://arxiv.org/abs/1509.07296v1