Abstract

Denote $\mathcal{S}$ to be the class of functions which are analytic, normalized and univalent in the open unit disk ${\mathbb{E}}= \{z \in \mathbb{C} : |z|<1\}.$ The upper bound for the functional $ |a_{m+1}a_{3m+1}-a_{2m+1}^{2}|$ with respect to $m$-fold symmetric points are determined.

Keywords and Phrases

Starlike functions, Convex functions, $q^{th}$ Hankel determinant, $m$-fold symmetric points.

A.M.S. subject classification

30C45, 30C50.

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