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Representations of the solutions of the first-order elliptic and hyperbolic systems via harmonic and wave functions respectively |
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| Authors: | J. Tokibetov A. Assadi |
| Affiliation: | 1. Department of Fundamental Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan;2. Department of Mathematics, University of Wisconsin, Madison, WI, USA |
| Abstract: | ABSTRACT In this paper representations of the solutions of all first-order elliptic and hyperbolic systems in three-dimensional and four-dimensional spaces are obtained through the derivatives of harmonic and wave functions, respectively. |
| Keywords: | Four-dimensional analogue of the Cauchy-Riemann system Moisil-Teodorescu system holomorphic vector harmonic functions wave functions non-singular polynomials |