Fekete-Szegö Problem for $\alpha$-Quasi Convex Functions of Order $\beta$

C. Selvaraj, R. Geetha

Abstract


For $f \in Q_{\alpha,\beta}^c$, sharp bounds are obtained for the Fekete-Szegö functional $|a_3 - \mu a_2^2|$, where $\mu$ is real.

Keywords


Analytic function; Univalent convex function; $\alpha$-quasi-convex function of order $\beta$; Fekete-Szegö functional

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DOI: http://dx.doi.org/10.26713%2Fjims.v4i2.80

eISSN 0975-5748; pISSN 0974-875X