The Pommiez operator (Δf)(z)=(f(z)−f(0))/z is considered in the space ℋ(G) of the holomorphic functions in an arbitrary finite Runge domain G. A new proof of a representation formula of Linchuk of the commutant of Δ in ℋ(G) is given. The main result is a representation formula of
the commutant of the Pommiez operator in an arbitrary invariant
hyperplane of ℋ(G). It uses an explicit convolution
product for an arbitrary right inverse operator of Δ or of
a perturbation Δ−λI of it. A relation between these
two types of commutants is found.