On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous helmholtz equation

@article{Karachik2010OnTS,
  title={On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous helmholtz equation},
  author={V. Karachik and N. Antropova},
  journal={Differential Equations},
  year={2010},
  volume={46},
  pages={387-399}
}
We present formulas that simplify finding the solutions of the Poisson equation, the inhomogeneous polyharmonic equation, and the inhomogeneous Helmholtz equation in the case of a polynomial right-hand side. They are based on the representation of an analytic function by harmonic functions. The resulting formulas remain valid for some analytic right-hand sides for which the corresponding operator series converge. 
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