Tuneski, Nikola; Darus, Maslina Fekete-Szegő functional for non-Bazilevič functions. (English) Zbl 1017.30012 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 18, 63-65 (2002). Let \(0<\lambda <1\). The authors consider the class of holomorphic functions \(f(z)=z+a_2 z^2+\dots \) in the unit \(\mathcal U:=\{|z|<1\}\) with the property that \(f'(z)(z/f(z))^{1+\lambda}\) has positive real part for all \(z\in \mathcal U\). For those functions they give sharp estimates for \(|a_2|\) as well as for the Fekete–Szegö functional \(|a_3-\mu a^2_2|\), where \(\mu\) is an arbitrary complex number. Reviewer: Gerald Schmieder (Oldenburg) Cited in 13 Documents MSC: 30C50 Coefficient problems for univalent and multivalent functions of one complex variable 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:non-Bazilevič function; Fekete-Szegő functional; sharp upper bound PDFBibTeX XMLCite \textit{N. Tuneski} and \textit{M. Darus}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 18, 63--65 (2002; Zbl 1017.30012) Full Text: EuDML