<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras"^^ . "It is well known that the real and imaginary parts of any holomorphic function are harmonic functions of two variables. In this paper,\r\nwe extend this idea to finite-dimensional commutative algebras; that is, we prove that if some basis of a subspace of a commutative\r\nalgebra satisfies a polynomial equation, then the components of a monogenic function on the subspace are solutions of the respective\r\npartial differential equation (PDE). We illustrate these concepts with a few examples."^^ . "2013" . . . "John Wiley & Sons"^^ . . . "Math. Meth. Appl. Sci."^^ . . . . . . . . . . . . . . "Мichael"^^ . "Shapіro"^^ . "Мichael Shapіro"^^ . . "A. A."^^ . "Pogorui"^^ . "A. A. Pogorui"^^ . . "Ramón М."^^ . "Rodríguez-Dagnіno"^^ . "Ramón М. Rodríguez-Dagnіno"^^ . . . . . . "Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras (Text)"^^ . . . "2013-mma.Solution_PDE.pdf"^^ . . . "Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras (Інший)"^^ . . . . . . "lightbox.jpg"^^ . . . "Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras (Інший)"^^ . . . . . . "preview.jpg"^^ . . . "Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras (Інший)"^^ . . . . . . "medium.jpg"^^ . . . "Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras (Інший)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #13298 \n\nSolutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras\n\n" . "text/html" . . . "Математичний аналіз"@uk . "Mathematical Analysis"@en . .