@article{zu213298,
           title = {Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras},
          author = {A. A. Pogorui and Ram{\'o}n ?. Rodr{\'i}guez-Dagn?no and ?ichael Shap?ro},
       publisher = {John Wiley \& Sons},
            year = {2013},
         journal = {Math. Meth. Appl. Sci.},
             url = {http://eprints.zu.edu.ua/13298/},
        abstract = {It is well known that the real and imaginary parts of any holomorphic function are harmonic functions of two variables. In this paper,
we extend this idea to finite-dimensional commutative algebras; that is, we prove that if some basis of a subspace of a commutative
algebra satisfies a polynomial equation, then the components of a monogenic function on the subspace are solutions of the respective
partial differential equation (PDE). We illustrate these concepts with a few examples.}
}