Coefficient bounds for \(p\)-valent functions (Q884087)
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scientific article; zbMATH DE number 5163904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coefficient bounds for \(p\)-valent functions |
scientific article; zbMATH DE number 5163904 |
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Coefficient bounds for \(p\)-valent functions (English)
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13 June 2007
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Sharp bounds for \(|a_{p+2}-\mu a^2_{p+1}|\) and \(|a_{p+3}|\) and \(|a_{p+3}|\) are derived for certain \(p\)-valent analytic functions. These are applied to obtain Fekete-Szegő like inequalities for several classes of functions defined by convolution.
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analytic functions
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starlike functions
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convex functions
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\(p\)-valent functions
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subordination
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convolution
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Fekete-Szegő inequalities
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0.9930248
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0.9570836
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0.9527379
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0.9510231
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0.93852127
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0.93103975
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