Iterated Robin problem, the case of various parameters

Prescribing Robin boundary conditions for the iterated Poisson equation $ (\partial _z\partial _{\bar {z}})<^>n w = f $ ( partial differential z partial differential z over bar )nw=f leads to Robin-n problems. Extending previous results by allowing an independent choice for the parameters $ \alpha _k, \beta _k $ alpha k,beta k for every iteration $ k, 1 \le k \le n $ 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.