Nontrivial deformation of an entire function \(abz+e^{bz}+c\) (Q5950100)
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scientific article; zbMATH DE number 1679650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial deformation of an entire function \(abz+e^{bz}+c\) |
scientific article; zbMATH DE number 1679650 |
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Nontrivial deformation of an entire function \(abz+e^{bz}+c\) (English)
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6 December 2001
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Let \(f(z;a,b,c)\) be an entire transcendental function of the form \(f(z;a,b,c)=abz+e^{bz}+c\) with \(a,b\neq 0\). The authors study the Julia sets of these functions and their Hausdorff convergence under suitable hypotheses on \(a,b\) and \(c\).
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Julia sets
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Hausdorff convergence
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