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arXiv · 1607.05067

On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions

Md Firoz Ali·A. Vasudevarao
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Abstract

For $-1\le B 1$. For $f\in\mathcal{S}^*(A,B)$ and $\lambda>0$, we shall estimate the absolute value of the Taylor coefficients $a_n(-\lambda,f)$ of the analytic function $(f(z)/z)^{-\lambda}$. Using this we shall determine the coefficient estimate for inverses of functions in the classes $\mathcal{S}^*(A,B)$ and $\Sigma^*(A,B)$.

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Md Firoz Ali, A. Vasudevarao. 2016-07-18. On Coefficient Estimates of Negative Powers and Inverse Coefficients for Certain Starlike Functions. https://arxiv.org/abs/1607.05067

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