On inverse coefficients (Q1038550)
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scientific article; zbMATH DE number 5635050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On inverse coefficients |
scientific article; zbMATH DE number 5635050 |
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On inverse coefficients (English)
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18 November 2009
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A function \(f\) analytic in the unit disk \(U\), normalized by \(f(0)=f'(0)-1=0\), and nonvanishing outside the origin, can be expressed in the form \(z/g(z)\) in \(U\). The Taylor coefficients \(b_n\) of the function \(g\) are called the inverse coefficients. The author obtains some necessary conditions on the inverse coefficients \(b_n\) for \(f\) to be in some classes of analytic functions.
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univalent function
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convex function
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starlike function
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