Hankel determinant for \(p\)-valent alpha-convex functions (Q2260754)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hankel determinant for \(p\)-valent alpha-convex functions |
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Hankel determinant for \(p\)-valent alpha-convex functions (English)
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12 March 2015
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Summary: The objective of the present paper is to obtain the sharp upper bound of \(|a_{p+1}a_{p+3}-a^2_{p+2}|\) for \(p\)-valent \(\alpha \)-convex functions of the form \(f(z)=z^p+\sum_{k=p+1}^{\infty}a_kz^k\) in the unit disc \(E=\{z:|z|<1\}\).
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\(\alpha\)-convex functions
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coefficient estimates
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