Volume 27 • Issue 2 • PP: 110-122 • 2026
Neutrosophic Bounds on Coefficients of Inequality for a Subclass of Holomorphic Functions
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© 2026 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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This study investigates the second-order Hankel determinant in the context of certain analytic functions to find upper bounds, incorporating neutrosophic logic to handle uncertainty in coefficient estimation. The normalized conditions ג)0)=0 ג′(0) = 1 are analyzed through both classical and neutrosophic frameworks. We derive:
• Sharp neutrosophic bounds for |H2,2,ϖ| when ϖ ∈ (1, 3/2]
• Optimal bounds for |H2,3| at ϖ = 3/2 in G(ϖ) and Q(ϖ)
• Neutrosophic logarithmic coefficient determinants with τ -ι-φ membership degrees
The framework demonstrates robustness when coefficients exhibit simultaneous membership/non-membership characteristics.
Keywords
References
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