A note on certain classes of starlike functions (Q1078354)
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scientific article; zbMATH DE number 3959867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on certain classes of starlike functions |
scientific article; zbMATH DE number 3959867 |
Statements
A note on certain classes of starlike functions (English)
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1987
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A number of distortion theorems are proved for the classes \({\mathcal T}_{\alpha}(n)\) and \({\mathcal C}_{\alpha}(n)\) of analytic and univalent functions with negative coefficients, studied recently by \textit{S. K. Chatterjea} [J. Pure Math. 1, 23-26 (1981; Zbl 0514.30010)]. Several interesting results for the convolution product of functions belonging to the classes \({\mathcal T}_{\alpha}(n)\) and \({\mathcal C}_{\alpha}(n)\) are also presented rather systematically.
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starlike functions
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distortion theorems
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