Coefficient Functionals for Starlike Functions of Reciprocal Order

Virendra Kumar, Sushil Kumar, Nak Eun Cho


Several properties of the class $\mathcal{S}^*_{r}(\alpha)$ of starlike functions of reciprocal order $\alpha\,(0\leq \alpha <1)$ defined on the open unit disk have been studied in this paper. The paper begins with a sufficient condition for analytic functions to be in the class $\mathcal{S}^*_{r}(\alpha)$. Further, the sharp bounds on third order Hermitian-Toeplitz determinant, initial inverse coefficients and initial logarithmic coefficients for functions in the class $\mathcal{S}^*_{r}(\alpha)$ are derived.

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|ISSN 1686-0209|