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On the Solution of Discrete Vekua Equations

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Abstract

We consider finite difference equations of Vekua type. Main goal of the paper is to prove a representation formula for the solution of homogeneous equations in the form of a product with one factor being a discrete holomorphic function.

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Authors and Affiliations

  1. Institut für Mathematik/Physik, Bauhaus-Universität Weimar, Coudraystr. 13B, Weimar, 99423, Germany

    Klaus Gürlebeck & Angela Hommel

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  1. Klaus Gürlebeck
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  2. Angela Hommel
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Correspondence to Klaus Gürlebeck.

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Gürlebeck, K., Hommel, A. On the Solution of Discrete Vekua Equations. Comput. Methods Funct. Theory 5, 89–110 (2005). https://doi.org/10.1007/BF03321088

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