Discrete Vekua equations with constant coefficients in the complex and quaternionic case (Q1774319)
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scientific article; zbMATH DE number 2166263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete Vekua equations with constant coefficients in the complex and quaternionic case |
scientific article; zbMATH DE number 2166263 |
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Discrete Vekua equations with constant coefficients in the complex and quaternionic case (English)
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6 May 2005
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The authors consider a discrete version of the Bers-Vekua equation and construct a representation formula for the homogeneous case. This representation factorizes into two functions, just as in the continuous equation. The results are applied to the inhomogeneous case. The factorization is also given for the quaternionic case of the homogeneous equations.
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finite difference equations
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Vekua equations
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quaternionic Vekua equations
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discrete holomorphic functions
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0.7978348135948181
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