New Results on Fourth-Hankel Determinant of a Certain Subclass of Analytic Functions
1,* Fedaa Aeyyd Nayyef 2 and Waggas Galib Atshan3 Youssef Wali Abbas
1,2 The General Directorate for Education of Ninevah-Ministry of Eduation-Iraq.
3 Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah, Iraq.
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Abstract
This paper studies the fourth Hankel determinaf for a subclass of analytic functions, denoted by N( , defined via athir-order differential subordination involving an exponential function. Sharp coefficient bounds for lanl, where , are obtained, and an upper bound for the fourth Hankel determinant is established, contributing to the theary of geometric function classes.
Keywords: Superordination, Hankel determinant, A Schwarz function, Chebyshev polynomials, Analytic function.
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