Linked pairs of additive functions (Q1689411)
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scientific article; zbMATH DE number 6825371
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linked pairs of additive functions |
scientific article; zbMATH DE number 6825371 |
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Linked pairs of additive functions (English)
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12 January 2018
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The focus of this paper is the pairs of additive functions \((f,g)\) linked by the functional equation \[ xf(x)=yg(x),\qquad (x,y)\in\mathcal{C}, \] where \(\mathcal{C}\) is some specified curve. It is found that for many types of curves this relationship forces \(f\) and \(g\) to be equal and linear. However, there are some exceptions.
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additive mapping
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linear mapping
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Laurent polynomial
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periodic function
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exponential function
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logarithm function
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