Extended shockwave decomposability related to boundaries of holomorphic 1-chains within CP2

We consider the notion of meromorphic Whitney multi-function solutions to ff(xi) = f(eta), which yields an enhanced version of the Dolbeault Henkin characterization of boundaries of holomorphic 1-chains within CP2. By analyzing the equations describing meromorphic Whitney multifunction solutions to ff(xi) = f(eta) and by creating some generalizations of certain linear dependence results, we show that a function G may be decomposed into a sum of such solutions, modulo xi-affine functions and with a selected bound on the degree of such sum, if and only if G(xi xi) satisfies a finite set of explicitly constructible partial differential equations.