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Hankel determinant for \(p\)-valent alpha-convex functions - MaRDI portal

Hankel determinant for \(p\)-valent alpha-convex functions (Q2260754)

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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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