Fekete-Szegö Inequality Estimate for Analytic Functions Using Salagean-Difference Operator and Leaf-Like Domain
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6349Keywords:
Analytic function, Univalent functions,Fekete-Szego inequality,Leaf like domainAbstract
This paper investigates the Fekete-Szego inequality for subclasses of analytic functions in the unit disk, including starlike, convex, bounded turning, and close-to-convex functions of complex order. Employing the Salagean-diference operator, we derive sharp bounds for the functional b_{2}\gamma{b_{2}^{2}} and extend these results to leaf-like domains. Our findings generalize classical inequalities, offering new insights into coefficient constraints and geometric properties in complex analysis.
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Copyright (c) 2025 Avaya Naik, Sushree Chinmayee Sahoo
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