Iterated Robin problem, the case of various parameters

Prescribing Robin boundary conditions for the iterated Poisson equation (∂z∂z¯)nw=f leads to Robin-n problems. Extending previous results by allowing an independent choice for the parameters αk,βk for every iteration k,1≤k≤n, leads to explicit integral representations depending on the data of the Robin-n problem. Parting from these integral representation explicit solutions with their respective solvability conditions are derived. For the unit disc of the complex plane, the Robin functions for n = 2 and 3 are explicitly constructed.