Volume 27 , Issue 2 , PP: 110-122, 2026 | Cite this article as | XML | Html | PDF | Full Length Article
Isra Al-Shbeil 1 * , Wael Mahmoud Mohammad Salameh 2 , Saleem Ashhab 3 , Biswajit Rath 4 , Eada Ahmed Al-Zahrani 5
Doi: https://doi.org/10.54216/IJNS.270210
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.
Neutrosophic analysis , Caratheodory function , Upper bound , Hankel determinant , Holomorphic function , Uncertainty quantification
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