THE SHARP UPPER BOUND FOR RE(A 3-λA 2) IN U' α
In this note we determine the exact value of max Re(A 3 — λA 2), λ ∈ R, within the linearly invariant family U' α introduced by V. V. Starkov in [4]. For λ = 0 the sharp estimate for |A 3| follows. If α = 1 the corresponding result is valid for convex univalent functions in the unit disk....
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2008-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2026 |