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Solutions to a class of polynomially generalized Bers–Vekua equations using Clifford analysis
Archivum mathematicum, Tome 48 (2012) no. 5, pp. 371-385 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper a class of polynomially generalized Vekua–type equations and of polynomially generalized Bers–Vekua equations with variable coefficients defined in a domain of Euclidean space are discussed. Using the methods of Clifford analysis, first the Fischer–type decomposition theorems for null solutions to these equations are obtained. Then we give, under some conditions, the solutions to the polynomially generalized Bers–Vekua equation with variable coefficients. Finally, we present the structure of the solutions to the inhomogeneous polynomially generalized Bers–Vekua equation.
In this paper a class of polynomially generalized Vekua–type equations and of polynomially generalized Bers–Vekua equations with variable coefficients defined in a domain of Euclidean space are discussed. Using the methods of Clifford analysis, first the Fischer–type decomposition theorems for null solutions to these equations are obtained. Then we give, under some conditions, the solutions to the polynomially generalized Bers–Vekua equation with variable coefficients. Finally, we present the structure of the solutions to the inhomogeneous polynomially generalized Bers–Vekua equation.
DOI : 10.5817/AM2012-5-371
Classification : 30G35, 32A25, 35C10
Keywords: Clifford analysis; polynomially generalized Bers–Vekua operator; Dirac operator 
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Ku, Min; Kähler, Uwe; Cerejeiras, Paula. Solutions to a class of polynomially generalized Bers–Vekua equations using Clifford analysis. Archivum mathematicum, Tome 48 (2012) no. 5, pp. 371-385. doi: 10.5817/AM2012-5-371

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