Estimate on the second Hankel determinant for a subclass of quasi-convex functions.

Autor: Goh, Jiun Shyan, Janteng, Aini
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Zdroj: AIP Conference Proceedings; Sep2013, Vol. 1557 Issue 1, p401-405, 5p
Abstrakt: In this paper, we consider the class Kα* of the functions of the form f(z) = z+a2z2+... which are analytic univalent in the disc D = {z:|z|<1} such that Reα(z2f"(z))′/g′(z)+(zf′(z))′/g;(z)>0 where g ∈ C. This paper focuses on the functional |a2a4-a32| for a function belonging to Kα* is obtained. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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