New Insights into the fourth-order Hankel determinant within a certain class of analytical functions
DOI:
https://doi.org/10.19139/soic-2310-5070-3745Keywords:
Analytical functions, fourth Hankel determinant, Chebyshev polynomials, Coefficient bounds, SubordinationAbstract
This paper investigates the subclass $M(\beta, \gamma, \e)$ of analytic functions defined on the open unit disk by employing the principle of subordination as a key analytical tool. Sharp upper bounds are obtained for the coefficients $\left|\y_{\n}\right|$ of functions in this class for $\n=2,3,4,5,6,7$, providing insight into the structure of the coefficients in the subclass. Furthermore, a general expression for the fourth Hankel determinant is derived for functions belonging to $M(\beta, \gamma, \e)$, representing a novel contribution to the field. Several additional results are also established, enriching the theory of analytic functions.Downloads
Published
2026-07-01
How to Cite
Alsoboh, A., Atshan, W. ., & Muhammed, M. S. (2026). New Insights into the fourth-order Hankel determinant within a certain class of analytical functions. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3745
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Research Articles
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Copyright (c) 2026 Abdullah Alsoboh, Waggas Galib Atshan, Muhammed Salih Muhammed
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