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arXiv · 2306.02431

Sharp coefficients bounds for Starlike functions associated with Gregory coefficients

Sercan Kazımoğlu·Erhan Deniz·Hari Mohan Srivastava
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Abstract

In this paper we introduced the class $\mathcal{S}_{G}^{\ast }$ of analytic functions which is related with starlike functions and generating function of Gregory coefficients. By using bounds on some coefficient functionals for the family of functions with positive real part, we obtain for functions in the class $\mathcal{S}_{G}^{\ast }$ several sharp coefficient bounds on the first six coeffcients and also further sharp bounds on the corresponding Hankel determinants.

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Sercan Kazımoğlu, Erhan Deniz, Hari Mohan Srivastava. 2023-06-04. Sharp coefficients bounds for Starlike functions associated with Gregory coefficients. https://arxiv.org/abs/2306.02431

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