TY  - JOUR
ID  - zu213298
UR  - http://eprints.zu.edu.ua/13298/
A1  - Pogorui, A. A.
A1  - Rodríguez-Dagn?no, Ramón ?.
A1  - Shap?ro, ?ichael
Y1  - 2013///
N2  - 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.
PB  - John Wiley & Sons
JF  - Math. Meth. Appl. Sci.
TI  - Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
AV  - public
ER  -