Functions of ultraexponential and infralogarithm types and general solution of the Abel functional equation (Q765140)
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scientific article; zbMATH DE number 6015583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functions of ultraexponential and infralogarithm types and general solution of the Abel functional equation |
scientific article; zbMATH DE number 6015583 |
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Functions of ultraexponential and infralogarithm types and general solution of the Abel functional equation (English)
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19 March 2012
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The author investigates the Abel functional equation \(\alpha\bigl(f(x)\bigr)=\alpha(x)+1\) under some assumptions on \(f\). The main result gives the solution applying the so-called ultraexponential and infralogarithm functions.
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functional equations of a single variable
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Abel functional equation
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ultraexponential and infralogarithm functions
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0.89397424
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0.8837197
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0.87961054
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0.8698312
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