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<p>We determine the sharp bound of the second-order Hankel determinant <i>H</i><sub>2<i>,</i>2</sub>(<i>f</i>) and the coefficient functional for functions from the class of <i>q</i>-starlike functions <i>𝒮*</i>(<i>ℒ</i>, <i>q</i>) by refining the results obtained in [H. M. Srivastava et al., “Upper bound of the third Hankel determinant for a subclass of <i>q</i>-starlike functions associated with the <i>q</i>-exponential function,” <i>Bull. Sci. Math.</i>, <b>167</b> (2021); DOI: https://doi.org/10.1016/j.bulsci.2020.102942]. Moreover, we obtain sharp estimates for the Fekete–Szegö functional and the coefficient differences for the analyzed class of functions.</p>

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Sharp Bound for the Second Hankel Determinant for a q-Starlike Function Associated with the q-Exponential Function

  • 期刊论文

  • 发表日期：

    2025年12月12日

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  • Karri Sanjay Kumar

摘要

We determine the sharp bound of the second-order Hankel determinant H2,2(f) and the coefficient functional for functions from the class of q-starlike functions 𝒮*(ℒ, q) by refining the results obtained in [H. M. Srivastava et al., “Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the q-exponential function,” Bull. Sci. Math., 167 (2021); DOI: https://doi.org/10.1016/j.bulsci.2020.102942]. Moreover, we obtain sharp estimates for the Fekete–Szegö functional and the coefficient differences for the analyzed class of functions.