Note on the zeros of functions with univalent derivatives (Q1079692)
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scientific article; zbMATH DE number 3964316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on the zeros of functions with univalent derivatives |
scientific article; zbMATH DE number 3964316 |
Statements
Note on the zeros of functions with univalent derivatives (English)
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1986
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The author finds values of the parameters \(\beta\), \(z_ 1\) such that the functions \[ f(z)=ze^{\beta z}(1-z/z_ 1)\quad resp.\quad f(z)=ze^{\beta z}(1-z^ 2/z^ 2_ 1) \] together with all their derivatives are close-to-convex in the unit disc.
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close-to-convex
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