Mishra, Akshaya Kumar; Gochhayat, Priyabrat Fekete-Szegö problem for a class defined by an integral operator. (English) Zbl 1196.30013 Kodai Math. J. 33, No. 2, 310-328 (2010). Summary: By making use of an integral operator due to Noor, a new subclass of analytic functions, denoted by \(k-\mathcal{UCV}_n\) (\(n \in N_{0} := \{0,1,2,\cdots \}\); \(0 \leq k < \infty \)), is introduced. For this class, the Fekete-Szegö problem is completely settled. The results obtained here also give the Fekete-Szegö inequalities for the classes of \(k\)-uniformly convex functions and \(k\)-parabolic starlike functions. Cited in 1 ReviewCited in 11 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:Fekete-Szegö problem; convex function; starlike function PDFBibTeX XMLCite \textit{A. K. Mishra} and \textit{P. Gochhayat}, Kodai Math. J. 33, No. 2, 310--328 (2010; Zbl 1196.30013) Full Text: DOI