Partial difference equations analogous to the Cauchy-Riemann equations and related functional equations on rings and fields (Q1895196)
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scientific article; zbMATH DE number 785176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partial difference equations analogous to the Cauchy-Riemann equations and related functional equations on rings and fields |
scientific article; zbMATH DE number 785176 |
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Partial difference equations analogous to the Cauchy-Riemann equations and related functional equations on rings and fields (English)
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8 February 1996
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Let \(S\) be a set endowed with two binary operations \((*)\) and \((\cdot)\) and \(G(+)\) be an Abelian group. The authors solve the functional equation \(f(x*t,y) + g(x,y \cdot t) = h(x,y)\), for \(x,y,t \in S\), where \(f,g,h : S \times S \to G\).
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partial difference equations
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Cauchy-Riemann equations
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Abelian group
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functional equation
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