Adjacent coefficients of univalent functions (Q1124004)
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scientific article; zbMATH DE number 4111011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adjacent coefficients of univalent functions |
scientific article; zbMATH DE number 4111011 |
Statements
Adjacent coefficients of univalent functions (English)
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1989
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Let the function \(f(z)=z+\sum^{\infty}_{n=2}a_ nz^ n\in S\), and \(d_ n=| a_{n+1}\| -| a_ n|\). The author obtains \[ - 2.793<| a_{n+1}| -| a_ n| <3.26, \] which is an improvement of Grinspan's result \(d_ n\in (-2.97,3.61)\) or \textit{Z. Ye}'s [Jiangxi Shifandaxue Xuebao 1985, No.1, 24-33 (1985; Zbl 0559.30020)], \(d_ n\in (2.945,3.394)\).
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0.8462671637535095
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