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arXiv · 2307.02746

The third Hankel determinant for inverse coefficients of starlike functions of order 1/2

Molla Basir Ahamed·Partha Pratim Roy
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Abstract

The sharp bound for the third Hankel determinant for the coefficients of the inverse function of starlike function of order $1/2$ is obtained. In light of this, we can deduce that the functionals $|H_3(1)(f)|$ and $|H_3(1)(f^{-1})|$ exhibit invariance on the class $\mathcal{S}^*(1/2)$.

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Molla Basir Ahamed, Partha Pratim Roy. 2023-07-06. The third Hankel determinant for inverse coefficients of starlike functions of order 1/2. https://arxiv.org/abs/2307.02746

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